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Finding the Fourth Proportional to 898.52, 1,347.80 and 508.29

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Solution

The fourth proportional to 898.52, 1,347.80 and 508.29 is: 762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.52 : 1,347.80 = 508.29 : x
  2. Step 2: Convert to fraction form
    898.52/1,347.80 = 508.29/x
  3. Step 3: Cross multiply
    898.52x = 1,347.80 × 508.29
  4. Step 4: Simplify right side
    898.52x = 685,070.72
  5. Step 5: Solve for x
    x = 685,070.72/898.52
  6. Step 6: Final answer
    x = 762.45

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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.