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Finding the Fourth Proportional to 910.34, 1,256.42 and 512.17

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Solution

The fourth proportional to 910.34, 1,256.42 and 512.17 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.34 : 1,256.42 = 512.17 : x
  2. Step 2: Convert to fraction form
    910.34/1,256.42 = 512.17/x
  3. Step 3: Cross multiply
    910.34x = 1,256.42 × 512.17
  4. Step 4: Simplify right side
    910.34x = 643,494.93
  5. Step 5: Solve for x
    x = 643,494.93/910.34
  6. Step 6: Final answer
    x = 706.87

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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.