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Finding the Fourth Proportional to 909.12, 1,254.62 and 495.12

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Solution

The fourth proportional to 909.12, 1,254.62 and 495.12 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.12 : 1,254.62 = 495.12 : x
  2. Step 2: Convert to fraction form
    909.12/1,254.62 = 495.12/x
  3. Step 3: Cross multiply
    909.12x = 1,254.62 × 495.12
  4. Step 4: Simplify right side
    909.12x = 621,187.45
  5. Step 5: Solve for x
    x = 621,187.45/909.12
  6. Step 6: Final answer
    x = 683.28

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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.