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Finding the Fourth Proportional to 909.57, 1,357.76 and 841.89

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Solution

The fourth proportional to 909.57, 1,357.76 and 841.89 is: 1,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.57 : 1,357.76 = 841.89 : x
  2. Step 2: Convert to fraction form
    909.57/1,357.76 = 841.89/x
  3. Step 3: Cross multiply
    909.57x = 1,357.76 × 841.89
  4. Step 4: Simplify right side
    909.57x = 1,143,084.57
  5. Step 5: Solve for x
    x = 1,143,084.57/909.57
  6. Step 6: Final answer
    x = 1,256.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.