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Finding the Fourth Proportional to 1,136, 1,566.22 and 840.76

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Solution

The fourth proportional to 1,136, 1,566.22 and 840.76 is: 1,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136 : 1,566.22 = 840.76 : x
  2. Step 2: Convert to fraction form
    1,136/1,566.22 = 840.76/x
  3. Step 3: Cross multiply
    1,136x = 1,566.22 × 840.76
  4. Step 4: Simplify right side
    1,136x = 1,316,815.13
  5. Step 5: Solve for x
    x = 1,316,815.13/1,136
  6. Step 6: Final answer
    x = 1,159.17

Related Problems

Find fourth proportional to 568, 783.11 and 420.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.