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Finding the Fourth Proportional to 910.21, 1,256.10 and 517.24

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Solution

The fourth proportional to 910.21, 1,256.10 and 517.24 is: 713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.21 : 1,256.10 = 517.24 : x
  2. Step 2: Convert to fraction form
    910.21/1,256.10 = 517.24/x
  3. Step 3: Cross multiply
    910.21x = 1,256.10 × 517.24
  4. Step 4: Simplify right side
    910.21x = 649,705.16
  5. Step 5: Solve for x
    x = 649,705.16/910.21
  6. Step 6: Final answer
    x = 713.80

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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.