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Finding the Fourth Proportional to 898.13, 1,345.91 and 508.12

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Solution

The fourth proportional to 898.13, 1,345.91 and 508.12 is: 761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,345.91 = 508.12 : x
  2. Step 2: Convert to fraction form
    898.13/1,345.91 = 508.12/x
  3. Step 3: Cross multiply
    898.13x = 1,345.91 × 508.12
  4. Step 4: Simplify right side
    898.13x = 683,877.88
  5. Step 5: Solve for x
    x = 683,877.88/898.13
  6. Step 6: Final answer
    x = 761.44

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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.