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Finding the Fourth Proportional to 697.71, 1,044.74 and 491.16

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Solution

The fourth proportional to 697.71, 1,044.74 and 491.16 is: 735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 1,044.74 = 491.16 : x
  2. Step 2: Convert to fraction form
    697.71/1,044.74 = 491.16/x
  3. Step 3: Cross multiply
    697.71x = 1,044.74 × 491.16
  4. Step 4: Simplify right side
    697.71x = 513,126.82
  5. Step 5: Solve for x
    x = 513,126.82/697.71
  6. Step 6: Final answer
    x = 735.45

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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.