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Finding the Fourth Proportional to 787.32, 1,085.64 and 507.56

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Solution

The fourth proportional to 787.32, 1,085.64 and 507.56 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.32 : 1,085.64 = 507.56 : x
  2. Step 2: Convert to fraction form
    787.32/1,085.64 = 507.56/x
  3. Step 3: Cross multiply
    787.32x = 1,085.64 × 507.56
  4. Step 4: Simplify right side
    787.32x = 551,027.44
  5. Step 5: Solve for x
    x = 551,027.44/787.32
  6. Step 6: Final answer
    x = 699.88

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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.