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Finding the Fourth Proportional to 697.66, 1,045.31 and 501.74

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Solution

The fourth proportional to 697.66, 1,045.31 and 501.74 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 1,045.31 = 501.74 : x
  2. Step 2: Convert to fraction form
    697.66/1,045.31 = 501.74/x
  3. Step 3: Cross multiply
    697.66x = 1,045.31 × 501.74
  4. Step 4: Simplify right side
    697.66x = 524,475.90
  5. Step 5: Solve for x
    x = 524,475.90/697.66
  6. Step 6: Final answer
    x = 751.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.