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Finding the Fourth Proportional to 929.62, 1,282.90 and 536.64

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Solution

The fourth proportional to 929.62, 1,282.90 and 536.64 is: 740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.62 : 1,282.90 = 536.64 : x
  2. Step 2: Convert to fraction form
    929.62/1,282.90 = 536.64/x
  3. Step 3: Cross multiply
    929.62x = 1,282.90 × 536.64
  4. Step 4: Simplify right side
    929.62x = 688,455.46
  5. Step 5: Solve for x
    x = 688,455.46/929.62
  6. Step 6: Final answer
    x = 740.58

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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.