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Finding the Fourth Proportional to 400.48, 595.88 and 390.56

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Solution

The fourth proportional to 400.48, 595.88 and 390.56 is: 581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 595.88 = 390.56 : x
  2. Step 2: Convert to fraction form
    400.48/595.88 = 390.56/x
  3. Step 3: Cross multiply
    400.48x = 595.88 × 390.56
  4. Step 4: Simplify right side
    400.48x = 232,726.89
  5. Step 5: Solve for x
    x = 232,726.89/400.48
  6. Step 6: Final answer
    x = 581.12

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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.