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Finding the Fourth Proportional to 822.04, 1,132.86 and 588.76

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Solution

The fourth proportional to 822.04, 1,132.86 and 588.76 is: 811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.04 : 1,132.86 = 588.76 : x
  2. Step 2: Convert to fraction form
    822.04/1,132.86 = 588.76/x
  3. Step 3: Cross multiply
    822.04x = 1,132.86 × 588.76
  4. Step 4: Simplify right side
    822.04x = 666,982.65
  5. Step 5: Solve for x
    x = 666,982.65/822.04
  6. Step 6: Final answer
    x = 811.37

Related Problems

Find fourth proportional to 411.02, 566.43 and 294.38
Half scale
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Double scale
Find fourth proportional to 823.04, 1,134.24 and 589.76
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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.