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Finding the Fourth Proportional to 531.32, 734.40 and 384.98

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Solution

The fourth proportional to 531.32, 734.40 and 384.98 is: 532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.32 : 734.40 = 384.98 : x
  2. Step 2: Convert to fraction form
    531.32/734.40 = 384.98/x
  3. Step 3: Cross multiply
    531.32x = 734.40 × 384.98
  4. Step 4: Simplify right side
    531.32x = 282,725.64
  5. Step 5: Solve for x
    x = 282,725.64/531.32
  6. Step 6: Final answer
    x = 532.12

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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.