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Finding the Fourth Proportional to 910.90, 1,256.34 and 700.78

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Solution

The fourth proportional to 910.90, 1,256.34 and 700.78 is: 966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.90 : 1,256.34 = 700.78 : x
  2. Step 2: Convert to fraction form
    910.90/1,256.34 = 700.78/x
  3. Step 3: Cross multiply
    910.90x = 1,256.34 × 700.78
  4. Step 4: Simplify right side
    910.90x = 880,417.95
  5. Step 5: Solve for x
    x = 880,417.95/910.90
  6. Step 6: Final answer
    x = 966.54

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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.