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Finding the Fourth Proportional to 920.25, 1,269.95 and 506.25

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Solution

The fourth proportional to 920.25, 1,269.95 and 506.25 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.25 : 1,269.95 = 506.25 : x
  2. Step 2: Convert to fraction form
    920.25/1,269.95 = 506.25/x
  3. Step 3: Cross multiply
    920.25x = 1,269.95 × 506.25
  4. Step 4: Simplify right side
    920.25x = 642,909.66
  5. Step 5: Solve for x
    x = 642,909.66/920.25
  6. Step 6: Final answer
    x = 698.63

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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.