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Finding the Fourth Proportional to 532.89, 735.77 and 346.47

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Solution

The fourth proportional to 532.89, 735.77 and 346.47 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.89 : 735.77 = 346.47 : x
  2. Step 2: Convert to fraction form
    532.89/735.77 = 346.47/x
  3. Step 3: Cross multiply
    532.89x = 735.77 × 346.47
  4. Step 4: Simplify right side
    532.89x = 254,920.50
  5. Step 5: Solve for x
    x = 254,920.50/532.89
  6. Step 6: Final answer
    x = 478.37

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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.