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Finding the Fourth Proportional to 972.92, 1,342.50 and 624.08

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Solution

The fourth proportional to 972.92, 1,342.50 and 624.08 is: 861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.92 : 1,342.50 = 624.08 : x
  2. Step 2: Convert to fraction form
    972.92/1,342.50 = 624.08/x
  3. Step 3: Cross multiply
    972.92x = 1,342.50 × 624.08
  4. Step 4: Simplify right side
    972.92x = 837,827.40
  5. Step 5: Solve for x
    x = 837,827.40/972.92
  6. Step 6: Final answer
    x = 861.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.