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Finding the Fourth Proportional to 537.74, 802.08 and 488.53

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Solution

The fourth proportional to 537.74, 802.08 and 488.53 is: 728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 802.08 = 488.53 : x
  2. Step 2: Convert to fraction form
    537.74/802.08 = 488.53/x
  3. Step 3: Cross multiply
    537.74x = 802.08 × 488.53
  4. Step 4: Simplify right side
    537.74x = 391,839.77
  5. Step 5: Solve for x
    x = 391,839.77/537.74
  6. Step 6: Final answer
    x = 728.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.