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Finding the Fourth Proportional to 407.12, 564.14 and 398.48

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Solution

The fourth proportional to 407.12, 564.14 and 398.48 is: 552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 564.14 = 398.48 : x
  2. Step 2: Convert to fraction form
    407.12/564.14 = 398.48/x
  3. Step 3: Cross multiply
    407.12x = 564.14 × 398.48
  4. Step 4: Simplify right side
    407.12x = 224,798.51
  5. Step 5: Solve for x
    x = 224,798.51/407.12
  6. Step 6: Final answer
    x = 552.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.