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Finding the Fourth Proportional to 524.99, 787.49 and 159.78

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Solution

The fourth proportional to 524.99, 787.49 and 159.78 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.99 : 787.49 = 159.78 : x
  2. Step 2: Convert to fraction form
    524.99/787.49 = 159.78/x
  3. Step 3: Cross multiply
    524.99x = 787.49 × 159.78
  4. Step 4: Simplify right side
    524.99x = 125,826.34
  5. Step 5: Solve for x
    x = 125,826.34/524.99
  6. Step 6: Final answer
    x = 239.67

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.