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Finding the Fourth Proportional to 602.60, 904.24 and 339.28

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Solution

The fourth proportional to 602.60, 904.24 and 339.28 is: 509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 904.24 = 339.28 : x
  2. Step 2: Convert to fraction form
    602.60/904.24 = 339.28/x
  3. Step 3: Cross multiply
    602.60x = 904.24 × 339.28
  4. Step 4: Simplify right side
    602.60x = 306,790.55
  5. Step 5: Solve for x
    x = 306,790.55/602.60
  6. Step 6: Final answer
    x = 509.11

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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.