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Finding the Fourth Proportional to 707.96, 974.86 and 560.12

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Solution

The fourth proportional to 707.96, 974.86 and 560.12 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 974.86 = 560.12 : x
  2. Step 2: Convert to fraction form
    707.96/974.86 = 560.12/x
  3. Step 3: Cross multiply
    707.96x = 974.86 × 560.12
  4. Step 4: Simplify right side
    707.96x = 546,038.58
  5. Step 5: Solve for x
    x = 546,038.58/707.96
  6. Step 6: Final answer
    x = 771.28

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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.