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Finding the Fourth Proportional to 909.29, 1,254.80 and 495.29

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Solution

The fourth proportional to 909.29, 1,254.80 and 495.29 is: 683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.29 : 1,254.80 = 495.29 : x
  2. Step 2: Convert to fraction form
    909.29/1,254.80 = 495.29/x
  3. Step 3: Cross multiply
    909.29x = 1,254.80 × 495.29
  4. Step 4: Simplify right side
    909.29x = 621,494.27
  5. Step 5: Solve for x
    x = 621,494.27/909.29
  6. Step 6: Final answer
    x = 683.49

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1.5x scale

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.