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Finding the Fourth Proportional to 773.94, 1,068.50 and 508.80

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Solution

The fourth proportional to 773.94, 1,068.50 and 508.80 is: 702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.94 : 1,068.50 = 508.80 : x
  2. Step 2: Convert to fraction form
    773.94/1,068.50 = 508.80/x
  3. Step 3: Cross multiply
    773.94x = 1,068.50 × 508.80
  4. Step 4: Simplify right side
    773.94x = 543,654.07
  5. Step 5: Solve for x
    x = 543,654.07/773.94
  6. Step 6: Final answer
    x = 702.45

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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.