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Finding the Fourth Proportional to 707.46, 974.17 and 559.62

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Solution

The fourth proportional to 707.46, 974.17 and 559.62 is: 770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.46 : 974.17 = 559.62 : x
  2. Step 2: Convert to fraction form
    707.46/974.17 = 559.62/x
  3. Step 3: Cross multiply
    707.46x = 974.17 × 559.62
  4. Step 4: Simplify right side
    707.46x = 545,165.02
  5. Step 5: Solve for x
    x = 545,165.02/707.46
  6. Step 6: Final answer
    x = 770.59

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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.