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Finding the Fourth Proportional to 761.59, 1,142.70 and 454.06

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Solution

The fourth proportional to 761.59, 1,142.70 and 454.06 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.59 : 1,142.70 = 454.06 : x
  2. Step 2: Convert to fraction form
    761.59/1,142.70 = 454.06/x
  3. Step 3: Cross multiply
    761.59x = 1,142.70 × 454.06
  4. Step 4: Simplify right side
    761.59x = 518,854.36
  5. Step 5: Solve for x
    x = 518,854.36/761.59
  6. Step 6: Final answer
    x = 681.28

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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.