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Finding the Fourth Proportional to 1,124.67, 1,686.69 and 430.86

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Solution

The fourth proportional to 1,124.67, 1,686.69 and 430.86 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.67 : 1,686.69 = 430.86 : x
  2. Step 2: Convert to fraction form
    1,124.67/1,686.69 = 430.86/x
  3. Step 3: Cross multiply
    1,124.67x = 1,686.69 × 430.86
  4. Step 4: Simplify right side
    1,124.67x = 726,727.25
  5. Step 5: Solve for x
    x = 726,727.25/1,124.67
  6. Step 6: Final answer
    x = 646.17

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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.