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Finding the Fourth Proportional to 900.58, 1,242.67 and 502.19

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Solution

The fourth proportional to 900.58, 1,242.67 and 502.19 is: 692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.58 : 1,242.67 = 502.19 : x
  2. Step 2: Convert to fraction form
    900.58/1,242.67 = 502.19/x
  3. Step 3: Cross multiply
    900.58x = 1,242.67 × 502.19
  4. Step 4: Simplify right side
    900.58x = 624,056.45
  5. Step 5: Solve for x
    x = 624,056.45/900.58
  6. Step 6: Final answer
    x = 692.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.