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Finding the Fourth Proportional to 407.04, 564.50 and 392.46

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Solution

The fourth proportional to 407.04, 564.50 and 392.46 is: 544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 564.50 = 392.46 : x
  2. Step 2: Convert to fraction form
    407.04/564.50 = 392.46/x
  3. Step 3: Cross multiply
    407.04x = 564.50 × 392.46
  4. Step 4: Simplify right side
    407.04x = 221,541.71
  5. Step 5: Solve for x
    x = 221,541.71/407.04
  6. Step 6: Final answer
    x = 544.28

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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.