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Finding the Fourth Proportional to 520.89, 776.36 and 491.70

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Solution

The fourth proportional to 520.89, 776.36 and 491.70 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 776.36 = 491.70 : x
  2. Step 2: Convert to fraction form
    520.89/776.36 = 491.70/x
  3. Step 3: Cross multiply
    520.89x = 776.36 × 491.70
  4. Step 4: Simplify right side
    520.89x = 381,736.21
  5. Step 5: Solve for x
    x = 381,736.21/520.89
  6. Step 6: Final answer
    x = 732.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.