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Finding the Fourth Proportional to 707.96, 1,066.10 and 617.74

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Solution

The fourth proportional to 707.96, 1,066.10 and 617.74 is: 930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 1,066.10 = 617.74 : x
  2. Step 2: Convert to fraction form
    707.96/1,066.10 = 617.74/x
  3. Step 3: Cross multiply
    707.96x = 1,066.10 × 617.74
  4. Step 4: Simplify right side
    707.96x = 658,572.61
  5. Step 5: Solve for x
    x = 658,572.61/707.96
  6. Step 6: Final answer
    x = 930.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.