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Finding the Fourth Proportional to 910.31, 1,256.23 and 496.31

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Solution

The fourth proportional to 910.31, 1,256.23 and 496.31 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.31 : 1,256.23 = 496.31 : x
  2. Step 2: Convert to fraction form
    910.31/1,256.23 = 496.31/x
  3. Step 3: Cross multiply
    910.31x = 1,256.23 × 496.31
  4. Step 4: Simplify right side
    910.31x = 623,483.27
  5. Step 5: Solve for x
    x = 623,483.27/910.31
  6. Step 6: Final answer
    x = 684.91

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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.