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Finding the Fourth Proportional to 561.39, 840.78 and 492.20

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Solution

The fourth proportional to 561.39, 840.78 and 492.20 is: 737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.39 : 840.78 = 492.20 : x
  2. Step 2: Convert to fraction form
    561.39/840.78 = 492.20/x
  3. Step 3: Cross multiply
    561.39x = 840.78 × 492.20
  4. Step 4: Simplify right side
    561.39x = 413,827.71
  5. Step 5: Solve for x
    x = 413,827.71/561.39
  6. Step 6: Final answer
    x = 737.15

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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.