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Finding the Fourth Proportional to 787.82, 1,087.68 and 508.16

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Solution

The fourth proportional to 787.82, 1,087.68 and 508.16 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,087.68 = 508.16 : x
  2. Step 2: Convert to fraction form
    787.82/1,087.68 = 508.16/x
  3. Step 3: Cross multiply
    787.82x = 1,087.68 × 508.16
  4. Step 4: Simplify right side
    787.82x = 552,715.47
  5. Step 5: Solve for x
    x = 552,715.47/787.82
  6. Step 6: Final answer
    x = 701.58

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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.