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Finding the Fourth Proportional to 602.95, 902.37 and 505.56

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Solution

The fourth proportional to 602.95, 902.37 and 505.56 is: 756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.95 : 902.37 = 505.56 : x
  2. Step 2: Convert to fraction form
    602.95/902.37 = 505.56/x
  3. Step 3: Cross multiply
    602.95x = 902.37 × 505.56
  4. Step 4: Simplify right side
    602.95x = 456,206.19
  5. Step 5: Solve for x
    x = 456,206.19/602.95
  6. Step 6: Final answer
    x = 756.62

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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.