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Finding the Fourth Proportional to 910.59, 1,256.43 and 770.40

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Solution

The fourth proportional to 910.59, 1,256.43 and 770.40 is: 1,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.59 : 1,256.43 = 770.40 : x
  2. Step 2: Convert to fraction form
    910.59/1,256.43 = 770.40/x
  3. Step 3: Cross multiply
    910.59x = 1,256.43 × 770.40
  4. Step 4: Simplify right side
    910.59x = 967,953.67
  5. Step 5: Solve for x
    x = 967,953.67/910.59
  6. Step 6: Final answer
    x = 1,063.00

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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.