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Finding the Fourth Proportional to 500.76, 691.32 and 384.52

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Solution

The fourth proportional to 500.76, 691.32 and 384.52 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 691.32 = 384.52 : x
  2. Step 2: Convert to fraction form
    500.76/691.32 = 384.52/x
  3. Step 3: Cross multiply
    500.76x = 691.32 × 384.52
  4. Step 4: Simplify right side
    500.76x = 265,826.37
  5. Step 5: Solve for x
    x = 265,826.37/500.76
  6. Step 6: Final answer
    x = 530.85

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Double scale
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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.