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Finding the Fourth Proportional to 557.87, 833.88 and 484.16

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Solution

The fourth proportional to 557.87, 833.88 and 484.16 is: 723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.87 : 833.88 = 484.16 : x
  2. Step 2: Convert to fraction form
    557.87/833.88 = 484.16/x
  3. Step 3: Cross multiply
    557.87x = 833.88 × 484.16
  4. Step 4: Simplify right side
    557.87x = 403,728.92
  5. Step 5: Solve for x
    x = 403,728.92/557.87
  6. Step 6: Final answer
    x = 723.70

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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.