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Finding the Fourth Proportional to 602.57, 904.23 and 328.83

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Solution

The fourth proportional to 602.57, 904.23 and 328.83 is: 493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.57 : 904.23 = 328.83 : x
  2. Step 2: Convert to fraction form
    602.57/904.23 = 328.83/x
  3. Step 3: Cross multiply
    602.57x = 904.23 × 328.83
  4. Step 4: Simplify right side
    602.57x = 297,337.95
  5. Step 5: Solve for x
    x = 297,337.95/602.57
  6. Step 6: Final answer
    x = 493.45

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1.5x scale

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.