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Finding the Fourth Proportional to 774.47, 1,160.49 and 465.59

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Solution

The fourth proportional to 774.47, 1,160.49 and 465.59 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.47 : 1,160.49 = 465.59 : x
  2. Step 2: Convert to fraction form
    774.47/1,160.49 = 465.59/x
  3. Step 3: Cross multiply
    774.47x = 1,160.49 × 465.59
  4. Step 4: Simplify right side
    774.47x = 540,312.54
  5. Step 5: Solve for x
    x = 540,312.54/774.47
  6. Step 6: Final answer
    x = 697.65

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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.