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Finding the Fourth Proportional to 772.16, 1,066.20 and 597.20

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Solution

The fourth proportional to 772.16, 1,066.20 and 597.20 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.16 : 1,066.20 = 597.20 : x
  2. Step 2: Convert to fraction form
    772.16/1,066.20 = 597.20/x
  3. Step 3: Cross multiply
    772.16x = 1,066.20 × 597.20
  4. Step 4: Simplify right side
    772.16x = 636,734.64
  5. Step 5: Solve for x
    x = 636,734.64/772.16
  6. Step 6: Final answer
    x = 824.61

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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.