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Finding the Fourth Proportional to 774.60, 1,069.80 and 513.72

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Solution

The fourth proportional to 774.60, 1,069.80 and 513.72 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,069.80 = 513.72 : x
  2. Step 2: Convert to fraction form
    774.60/1,069.80 = 513.72/x
  3. Step 3: Cross multiply
    774.60x = 1,069.80 × 513.72
  4. Step 4: Simplify right side
    774.60x = 549,577.66
  5. Step 5: Solve for x
    x = 549,577.66/774.60
  6. Step 6: Final answer
    x = 709.50

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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.