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Finding the Fourth Proportional to 910.78, 1,256.58 and 537.77

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Solution

The fourth proportional to 910.78, 1,256.58 and 537.77 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.78 : 1,256.58 = 537.77 : x
  2. Step 2: Convert to fraction form
    910.78/1,256.58 = 537.77/x
  3. Step 3: Cross multiply
    910.78x = 1,256.58 × 537.77
  4. Step 4: Simplify right side
    910.78x = 675,754.17
  5. Step 5: Solve for x
    x = 675,754.17/910.78
  6. Step 6: Final answer
    x = 741.95

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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.