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Finding the Fourth Proportional to 562.18, 776.01 and 407.38

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Solution

The fourth proportional to 562.18, 776.01 and 407.38 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.18 : 776.01 = 407.38 : x
  2. Step 2: Convert to fraction form
    562.18/776.01 = 407.38/x
  3. Step 3: Cross multiply
    562.18x = 776.01 × 407.38
  4. Step 4: Simplify right side
    562.18x = 316,130.95
  5. Step 5: Solve for x
    x = 316,130.95/562.18
  6. Step 6: Final answer
    x = 562.33

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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.