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Finding the Fourth Proportional to 1,129.91, 1,695.11 and 339.24

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Solution

The fourth proportional to 1,129.91, 1,695.11 and 339.24 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.91 : 1,695.11 = 339.24 : x
  2. Step 2: Convert to fraction form
    1,129.91/1,695.11 = 339.24/x
  3. Step 3: Cross multiply
    1,129.91x = 1,695.11 × 339.24
  4. Step 4: Simplify right side
    1,129.91x = 575,041.49
  5. Step 5: Solve for x
    x = 575,041.49/1,129.91
  6. Step 6: Final answer
    x = 508.93

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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.