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Finding the Fourth Proportional to 500.82, 689.01 and 417.39

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Solution

The fourth proportional to 500.82, 689.01 and 417.39 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 689.01 = 417.39 : x
  2. Step 2: Convert to fraction form
    500.82/689.01 = 417.39/x
  3. Step 3: Cross multiply
    500.82x = 689.01 × 417.39
  4. Step 4: Simplify right side
    500.82x = 287,581.73
  5. Step 5: Solve for x
    x = 287,581.73/500.82
  6. Step 6: Final answer
    x = 574.23

Related Problems

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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.