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Finding the Fourth Proportional to 532, 734.52 and 407.98

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Solution

The fourth proportional to 532, 734.52 and 407.98 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 734.52 = 407.98 : x
  2. Step 2: Convert to fraction form
    532/734.52 = 407.98/x
  3. Step 3: Cross multiply
    532x = 734.52 × 407.98
  4. Step 4: Simplify right side
    532x = 299,669.47
  5. Step 5: Solve for x
    x = 299,669.47/532
  6. Step 6: Final answer
    x = 563.29

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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.