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Finding the Fourth Proportional to 712.76, 983.01 and 565.16

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Solution

The fourth proportional to 712.76, 983.01 and 565.16 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.01 = 565.16 : x
  2. Step 2: Convert to fraction form
    712.76/983.01 = 565.16/x
  3. Step 3: Cross multiply
    712.76x = 983.01 × 565.16
  4. Step 4: Simplify right side
    712.76x = 555,557.93
  5. Step 5: Solve for x
    x = 555,557.93/712.76
  6. Step 6: Final answer
    x = 779.45

Related Problems

Find fourth proportional to 356.38, 491.51 and 282.58
Half scale
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Double scale
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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.