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Finding the Fourth Proportional to 787.48, 1,086.68 and 433.39

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Solution

The fourth proportional to 787.48, 1,086.68 and 433.39 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.48 : 1,086.68 = 433.39 : x
  2. Step 2: Convert to fraction form
    787.48/1,086.68 = 433.39/x
  3. Step 3: Cross multiply
    787.48x = 1,086.68 × 433.39
  4. Step 4: Simplify right side
    787.48x = 470,956.25
  5. Step 5: Solve for x
    x = 470,956.25/787.48
  6. Step 6: Final answer
    x = 598.05

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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.