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Finding the Fourth Proportional to 602.32, 904.68 and 515.62

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Solution

The fourth proportional to 602.32, 904.68 and 515.62 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 904.68 = 515.62 : x
  2. Step 2: Convert to fraction form
    602.32/904.68 = 515.62/x
  3. Step 3: Cross multiply
    602.32x = 904.68 × 515.62
  4. Step 4: Simplify right side
    602.32x = 466,471.10
  5. Step 5: Solve for x
    x = 466,471.10/602.32
  6. Step 6: Final answer
    x = 774.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.