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Finding the Fourth Proportional to 1,129.54, 1,693.95 and 349.51

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Solution

The fourth proportional to 1,129.54, 1,693.95 and 349.51 is: 524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.54 : 1,693.95 = 349.51 : x
  2. Step 2: Convert to fraction form
    1,129.54/1,693.95 = 349.51/x
  3. Step 3: Cross multiply
    1,129.54x = 1,693.95 × 349.51
  4. Step 4: Simplify right side
    1,129.54x = 592,052.46
  5. Step 5: Solve for x
    x = 592,052.46/1,129.54
  6. Step 6: Final answer
    x = 524.15

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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.