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Finding the Fourth Proportional to 602.40, 830.88 and 471.72

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Solution

The fourth proportional to 602.40, 830.88 and 471.72 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 830.88 = 471.72 : x
  2. Step 2: Convert to fraction form
    602.40/830.88 = 471.72/x
  3. Step 3: Cross multiply
    602.40x = 830.88 × 471.72
  4. Step 4: Simplify right side
    602.40x = 391,942.71
  5. Step 5: Solve for x
    x = 391,942.71/602.40
  6. Step 6: Final answer
    x = 650.64

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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.