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Finding the Fourth Proportional to 787.02, 1,086.39 and 524.94

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Solution

The fourth proportional to 787.02, 1,086.39 and 524.94 is: 724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,086.39 = 524.94 : x
  2. Step 2: Convert to fraction form
    787.02/1,086.39 = 524.94/x
  3. Step 3: Cross multiply
    787.02x = 1,086.39 × 524.94
  4. Step 4: Simplify right side
    787.02x = 570,289.57
  5. Step 5: Solve for x
    x = 570,289.57/787.02
  6. Step 6: Final answer
    x = 724.62

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1.5x scale

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.