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Finding the Fourth Proportional to 910.25, 1,256.21 and 506.53

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Solution

The fourth proportional to 910.25, 1,256.21 and 506.53 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.25 : 1,256.21 = 506.53 : x
  2. Step 2: Convert to fraction form
    910.25/1,256.21 = 506.53/x
  3. Step 3: Cross multiply
    910.25x = 1,256.21 × 506.53
  4. Step 4: Simplify right side
    910.25x = 636,301.77
  5. Step 5: Solve for x
    x = 636,301.77/910.25
  6. Step 6: Final answer
    x = 699.04

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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.