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Finding the Fourth Proportional to 432.78, 647.88 and 375.07

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Solution

The fourth proportional to 432.78, 647.88 and 375.07 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 647.88 = 375.07 : x
  2. Step 2: Convert to fraction form
    432.78/647.88 = 375.07/x
  3. Step 3: Cross multiply
    432.78x = 647.88 × 375.07
  4. Step 4: Simplify right side
    432.78x = 243,000.35
  5. Step 5: Solve for x
    x = 243,000.35/432.78
  6. Step 6: Final answer
    x = 561.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.