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Finding the Fourth Proportional to 602.48, 830.76 and 428.24

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Solution

The fourth proportional to 602.48, 830.76 and 428.24 is: 590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 830.76 = 428.24 : x
  2. Step 2: Convert to fraction form
    602.48/830.76 = 428.24/x
  3. Step 3: Cross multiply
    602.48x = 830.76 × 428.24
  4. Step 4: Simplify right side
    602.48x = 355,764.66
  5. Step 5: Solve for x
    x = 355,764.66/602.48
  6. Step 6: Final answer
    x = 590.50

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1.5x scale

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.