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Finding the Fourth Proportional to 787.96, 1,087.57 and 456.58

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Solution

The fourth proportional to 787.96, 1,087.57 and 456.58 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.96 : 1,087.57 = 456.58 : x
  2. Step 2: Convert to fraction form
    787.96/1,087.57 = 456.58/x
  3. Step 3: Cross multiply
    787.96x = 1,087.57 × 456.58
  4. Step 4: Simplify right side
    787.96x = 496,562.71
  5. Step 5: Solve for x
    x = 496,562.71/787.96
  6. Step 6: Final answer
    x = 630.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.