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Finding the Fourth Proportional to 787.80, 1,087.14 and 433.72

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Solution

The fourth proportional to 787.80, 1,087.14 and 433.72 is: 598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,087.14 = 433.72 : x
  2. Step 2: Convert to fraction form
    787.80/1,087.14 = 433.72/x
  3. Step 3: Cross multiply
    787.80x = 1,087.14 × 433.72
  4. Step 4: Simplify right side
    787.80x = 471,514.09
  5. Step 5: Solve for x
    x = 471,514.09/787.80
  6. Step 6: Final answer
    x = 598.52

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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.