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Finding the Fourth Proportional to 1,148.93, 1,585.53 and 624.96

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Solution

The fourth proportional to 1,148.93, 1,585.53 and 624.96 is: 862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.93 : 1,585.53 = 624.96 : x
  2. Step 2: Convert to fraction form
    1,148.93/1,585.53 = 624.96/x
  3. Step 3: Cross multiply
    1,148.93x = 1,585.53 × 624.96
  4. Step 4: Simplify right side
    1,148.93x = 990,892.83
  5. Step 5: Solve for x
    x = 990,892.83/1,148.93
  6. Step 6: Final answer
    x = 862.45

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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.