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Finding the Fourth Proportional to 534.04, 735.90 and 347.32

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Solution

The fourth proportional to 534.04, 735.90 and 347.32 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.04 : 735.90 = 347.32 : x
  2. Step 2: Convert to fraction form
    534.04/735.90 = 347.32/x
  3. Step 3: Cross multiply
    534.04x = 735.90 × 347.32
  4. Step 4: Simplify right side
    534.04x = 255,592.79
  5. Step 5: Solve for x
    x = 255,592.79/534.04
  6. Step 6: Final answer
    x = 478.60

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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.