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Finding the Fourth Proportional to 478.45, 715.87 and 400.69

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Solution

The fourth proportional to 478.45, 715.87 and 400.69 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.45 : 715.87 = 400.69 : x
  2. Step 2: Convert to fraction form
    478.45/715.87 = 400.69/x
  3. Step 3: Cross multiply
    478.45x = 715.87 × 400.69
  4. Step 4: Simplify right side
    478.45x = 286,841.95
  5. Step 5: Solve for x
    x = 286,841.95/478.45
  6. Step 6: Final answer
    x = 599.52

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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.