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Finding the Fourth Proportional to 903.76, 1,247.30 and 609.66

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Solution

The fourth proportional to 903.76, 1,247.30 and 609.66 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.76 : 1,247.30 = 609.66 : x
  2. Step 2: Convert to fraction form
    903.76/1,247.30 = 609.66/x
  3. Step 3: Cross multiply
    903.76x = 1,247.30 × 609.66
  4. Step 4: Simplify right side
    903.76x = 760,428.92
  5. Step 5: Solve for x
    x = 760,428.92/903.76
  6. Step 6: Final answer
    x = 841.41

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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.