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Finding the Fourth Proportional to 602.35, 830.33 and 471.13

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Solution

The fourth proportional to 602.35, 830.33 and 471.13 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.35 : 830.33 = 471.13 : x
  2. Step 2: Convert to fraction form
    602.35/830.33 = 471.13/x
  3. Step 3: Cross multiply
    602.35x = 830.33 × 471.13
  4. Step 4: Simplify right side
    602.35x = 391,193.37
  5. Step 5: Solve for x
    x = 391,193.37/602.35
  6. Step 6: Final answer
    x = 649.45

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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.