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Finding the Fourth Proportional to 757.60, 1,046.28 and 581.20

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Solution

The fourth proportional to 757.60, 1,046.28 and 581.20 is: 802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.60 : 1,046.28 = 581.20 : x
  2. Step 2: Convert to fraction form
    757.60/1,046.28 = 581.20/x
  3. Step 3: Cross multiply
    757.60x = 1,046.28 × 581.20
  4. Step 4: Simplify right side
    757.60x = 608,097.94
  5. Step 5: Solve for x
    x = 608,097.94/757.60
  6. Step 6: Final answer
    x = 802.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.