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Finding the Fourth Proportional to 774.19, 1,068.85 and 509.05

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Solution

The fourth proportional to 774.19, 1,068.85 and 509.05 is: 702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,068.85 = 509.05 : x
  2. Step 2: Convert to fraction form
    774.19/1,068.85 = 509.05/x
  3. Step 3: Cross multiply
    774.19x = 1,068.85 × 509.05
  4. Step 4: Simplify right side
    774.19x = 544,098.09
  5. Step 5: Solve for x
    x = 544,098.09/774.19
  6. Step 6: Final answer
    x = 702.80

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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.