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Finding the Fourth Proportional to 929.60, 1,282.80 and 536.75

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Solution

The fourth proportional to 929.60, 1,282.80 and 536.75 is: 740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,282.80 = 536.75 : x
  2. Step 2: Convert to fraction form
    929.60/1,282.80 = 536.75/x
  3. Step 3: Cross multiply
    929.60x = 1,282.80 × 536.75
  4. Step 4: Simplify right side
    929.60x = 688,542.90
  5. Step 5: Solve for x
    x = 688,542.90/929.60
  6. Step 6: Final answer
    x = 740.69

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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.