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Finding the Fourth Proportional to 900.78, 1,240.59 and 842.22

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Solution

The fourth proportional to 900.78, 1,240.59 and 842.22 is: 1,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.78 : 1,240.59 = 842.22 : x
  2. Step 2: Convert to fraction form
    900.78/1,240.59 = 842.22/x
  3. Step 3: Cross multiply
    900.78x = 1,240.59 × 842.22
  4. Step 4: Simplify right side
    900.78x = 1,044,849.71
  5. Step 5: Solve for x
    x = 1,044,849.71/900.78
  6. Step 6: Final answer
    x = 1,159.94

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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.