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Finding the Fourth Proportional to 765.58, 1,053.76 and 639.82

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Solution

The fourth proportional to 765.58, 1,053.76 and 639.82 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.58 : 1,053.76 = 639.82 : x
  2. Step 2: Convert to fraction form
    765.58/1,053.76 = 639.82/x
  3. Step 3: Cross multiply
    765.58x = 1,053.76 × 639.82
  4. Step 4: Simplify right side
    765.58x = 674,216.72
  5. Step 5: Solve for x
    x = 674,216.72/765.58
  6. Step 6: Final answer
    x = 880.66

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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.