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Finding the Fourth Proportional to 909.67, 1,256.08 and 741.65

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Solution

The fourth proportional to 909.67, 1,256.08 and 741.65 is: 1,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.67 : 1,256.08 = 741.65 : x
  2. Step 2: Convert to fraction form
    909.67/1,256.08 = 741.65/x
  3. Step 3: Cross multiply
    909.67x = 1,256.08 × 741.65
  4. Step 4: Simplify right side
    909.67x = 931,565.45
  5. Step 5: Solve for x
    x = 931,565.45/909.67
  6. Step 6: Final answer
    x = 1,024.08

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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.