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Finding the Fourth Proportional to 900.07, 1,242.09 and 527.05

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Solution

The fourth proportional to 900.07, 1,242.09 and 527.05 is: 727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.07 : 1,242.09 = 527.05 : x
  2. Step 2: Convert to fraction form
    900.07/1,242.09 = 527.05/x
  3. Step 3: Cross multiply
    900.07x = 1,242.09 × 527.05
  4. Step 4: Simplify right side
    900.07x = 654,643.53
  5. Step 5: Solve for x
    x = 654,643.53/900.07
  6. Step 6: Final answer
    x = 727.33

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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.