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Finding the Fourth Proportional to 1,148.82, 1,585.41 and 624.87

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Solution

The fourth proportional to 1,148.82, 1,585.41 and 624.87 is: 862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.82 : 1,585.41 = 624.87 : x
  2. Step 2: Convert to fraction form
    1,148.82/1,585.41 = 624.87/x
  3. Step 3: Cross multiply
    1,148.82x = 1,585.41 × 624.87
  4. Step 4: Simplify right side
    1,148.82x = 990,675.15
  5. Step 5: Solve for x
    x = 990,675.15/1,148.82
  6. Step 6: Final answer
    x = 862.34

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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.