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Finding the Fourth Proportional to 1,148.70, 1,585.20 and 624.73

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Solution

The fourth proportional to 1,148.70, 1,585.20 and 624.73 is: 862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.70 : 1,585.20 = 624.73 : x
  2. Step 2: Convert to fraction form
    1,148.70/1,585.20 = 624.73/x
  3. Step 3: Cross multiply
    1,148.70x = 1,585.20 × 624.73
  4. Step 4: Simplify right side
    1,148.70x = 990,322.00
  5. Step 5: Solve for x
    x = 990,322.00/1,148.70
  6. Step 6: Final answer
    x = 862.12

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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.