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Finding the Fourth Proportional to 900.18, 1,242.27 and 589.50

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Solution

The fourth proportional to 900.18, 1,242.27 and 589.50 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.18 : 1,242.27 = 589.50 : x
  2. Step 2: Convert to fraction form
    900.18/1,242.27 = 589.50/x
  3. Step 3: Cross multiply
    900.18x = 1,242.27 × 589.50
  4. Step 4: Simplify right side
    900.18x = 732,318.17
  5. Step 5: Solve for x
    x = 732,318.17/900.18
  6. Step 6: Final answer
    x = 813.52

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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.