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Finding the Fourth Proportional to 488.73, 670.86 and 432.24

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Solution

The fourth proportional to 488.73, 670.86 and 432.24 is: 593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.73 : 670.86 = 432.24 : x
  2. Step 2: Convert to fraction form
    488.73/670.86 = 432.24/x
  3. Step 3: Cross multiply
    488.73x = 670.86 × 432.24
  4. Step 4: Simplify right side
    488.73x = 289,972.53
  5. Step 5: Solve for x
    x = 289,972.53/488.73
  6. Step 6: Final answer
    x = 593.32

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1.5x scale

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.