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Finding the Fourth Proportional to 602.29, 902.49 and 542.35

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Solution

The fourth proportional to 602.29, 902.49 and 542.35 is: 812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.29 : 902.49 = 542.35 : x
  2. Step 2: Convert to fraction form
    602.29/902.49 = 542.35/x
  3. Step 3: Cross multiply
    602.29x = 902.49 × 542.35
  4. Step 4: Simplify right side
    602.29x = 489,465.45
  5. Step 5: Solve for x
    x = 489,465.45/602.29
  6. Step 6: Final answer
    x = 812.67

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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.