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Finding the Fourth Proportional to 477.74, 715.40 and 400.52

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Solution

The fourth proportional to 477.74, 715.40 and 400.52 is: 599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 715.40 = 400.52 : x
  2. Step 2: Convert to fraction form
    477.74/715.40 = 400.52/x
  3. Step 3: Cross multiply
    477.74x = 715.40 × 400.52
  4. Step 4: Simplify right side
    477.74x = 286,530.01
  5. Step 5: Solve for x
    x = 286,530.01/477.74
  6. Step 6: Final answer
    x = 599.76

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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.