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Finding the Fourth Proportional to 1,141.50, 1,712.49 and 457.50

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Solution

The fourth proportional to 1,141.50, 1,712.49 and 457.50 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.50 : 1,712.49 = 457.50 : x
  2. Step 2: Convert to fraction form
    1,141.50/1,712.49 = 457.50/x
  3. Step 3: Cross multiply
    1,141.50x = 1,712.49 × 457.50
  4. Step 4: Simplify right side
    1,141.50x = 783,464.18
  5. Step 5: Solve for x
    x = 783,464.18/1,141.50
  6. Step 6: Final answer
    x = 686.35

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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.