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Finding the Fourth Proportional to 602.76, 832 and 354.18

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Solution

The fourth proportional to 602.76, 832 and 354.18 is: 488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 832 = 354.18 : x
  2. Step 2: Convert to fraction form
    602.76/832 = 354.18/x
  3. Step 3: Cross multiply
    602.76x = 832 × 354.18
  4. Step 4: Simplify right side
    602.76x = 294,677.76
  5. Step 5: Solve for x
    x = 294,677.76/602.76
  6. Step 6: Final answer
    x = 488.88

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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.