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Finding the Fourth Proportional to 709.12, 972.13 and 697.78

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Solution

The fourth proportional to 709.12, 972.13 and 697.78 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 972.13 = 697.78 : x
  2. Step 2: Convert to fraction form
    709.12/972.13 = 697.78/x
  3. Step 3: Cross multiply
    709.12x = 972.13 × 697.78
  4. Step 4: Simplify right side
    709.12x = 678,332.87
  5. Step 5: Solve for x
    x = 678,332.87/709.12
  6. Step 6: Final answer
    x = 956.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.