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Finding the Fourth Proportional to 900.26, 1,242.78 and 602.30

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Solution

The fourth proportional to 900.26, 1,242.78 and 602.30 is: 831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.26 : 1,242.78 = 602.30 : x
  2. Step 2: Convert to fraction form
    900.26/1,242.78 = 602.30/x
  3. Step 3: Cross multiply
    900.26x = 1,242.78 × 602.30
  4. Step 4: Simplify right side
    900.26x = 748,526.39
  5. Step 5: Solve for x
    x = 748,526.39/900.26
  6. Step 6: Final answer
    x = 831.46

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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.