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Finding the Fourth Proportional to 910.40, 1,367.67 and 787.46

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Solution

The fourth proportional to 910.40, 1,367.67 and 787.46 is: 1,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.40 : 1,367.67 = 787.46 : x
  2. Step 2: Convert to fraction form
    910.40/1,367.67 = 787.46/x
  3. Step 3: Cross multiply
    910.40x = 1,367.67 × 787.46
  4. Step 4: Simplify right side
    910.40x = 1,076,985.42
  5. Step 5: Solve for x
    x = 1,076,985.42/910.40
  6. Step 6: Final answer
    x = 1,182.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.