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Finding the Fourth Proportional to 1,432.85, 2,148.56 and 508.26

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Solution

The fourth proportional to 1,432.85, 2,148.56 and 508.26 is: 762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.85 : 2,148.56 = 508.26 : x
  2. Step 2: Convert to fraction form
    1,432.85/2,148.56 = 508.26/x
  3. Step 3: Cross multiply
    1,432.85x = 2,148.56 × 508.26
  4. Step 4: Simplify right side
    1,432.85x = 1,092,024.56
  5. Step 5: Solve for x
    x = 1,092,024.56/1,432.85
  6. Step 6: Final answer
    x = 762.14

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1.5x scale

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.