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Finding the Fourth Proportional to 761.64, 1,140.86 and 395.31

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Solution

The fourth proportional to 761.64, 1,140.86 and 395.31 is: 592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,140.86 = 395.31 : x
  2. Step 2: Convert to fraction form
    761.64/1,140.86 = 395.31/x
  3. Step 3: Cross multiply
    761.64x = 1,140.86 × 395.31
  4. Step 4: Simplify right side
    761.64x = 450,995.67
  5. Step 5: Solve for x
    x = 450,995.67/761.64
  6. Step 6: Final answer
    x = 592.14

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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.