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Finding the Fourth Proportional to 760.87, 1,139.47 and 540.64

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Solution

The fourth proportional to 760.87, 1,139.47 and 540.64 is: 809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.87 : 1,139.47 = 540.64 : x
  2. Step 2: Convert to fraction form
    760.87/1,139.47 = 540.64/x
  3. Step 3: Cross multiply
    760.87x = 1,139.47 × 540.64
  4. Step 4: Simplify right side
    760.87x = 616,043.06
  5. Step 5: Solve for x
    x = 616,043.06/760.87
  6. Step 6: Final answer
    x = 809.66

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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.