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Finding the Fourth Proportional to 616.81, 924.77 and 292.00

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Solution

The fourth proportional to 616.81, 924.77 and 292.00 is: 437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.81 : 924.77 = 292.00 : x
  2. Step 2: Convert to fraction form
    616.81/924.77 = 292.00/x
  3. Step 3: Cross multiply
    616.81x = 924.77 × 292.00
  4. Step 4: Simplify right side
    616.81x = 270,026.76
  5. Step 5: Solve for x
    x = 270,026.76/616.81
  6. Step 6: Final answer
    x = 437.78

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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.