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Finding the Fourth Proportional to 488.61, 670.69 and 432.11

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Solution

The fourth proportional to 488.61, 670.69 and 432.11 is: 593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.61 : 670.69 = 432.11 : x
  2. Step 2: Convert to fraction form
    488.61/670.69 = 432.11/x
  3. Step 3: Cross multiply
    488.61x = 670.69 × 432.11
  4. Step 4: Simplify right side
    488.61x = 289,811.86
  5. Step 5: Solve for x
    x = 289,811.86/488.61
  6. Step 6: Final answer
    x = 593.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.