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Finding the Fourth Proportional to 602.10, 830.34 and 470.88

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Solution

The fourth proportional to 602.10, 830.34 and 470.88 is: 649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 830.34 = 470.88 : x
  2. Step 2: Convert to fraction form
    602.10/830.34 = 470.88/x
  3. Step 3: Cross multiply
    602.10x = 830.34 × 470.88
  4. Step 4: Simplify right side
    602.10x = 390,990.50
  5. Step 5: Solve for x
    x = 390,990.50/602.10
  6. Step 6: Final answer
    x = 649.38

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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.