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Finding the Fourth Proportional to 602.57, 830.63 and 471.35

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Solution

The fourth proportional to 602.57, 830.63 and 471.35 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.57 : 830.63 = 471.35 : x
  2. Step 2: Convert to fraction form
    602.57/830.63 = 471.35/x
  3. Step 3: Cross multiply
    602.57x = 830.63 × 471.35
  4. Step 4: Simplify right side
    602.57x = 391,510.94
  5. Step 5: Solve for x
    x = 391,510.94/602.57
  6. Step 6: Final answer
    x = 649.74

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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.