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Finding the Fourth Proportional to 929.89, 1,283.16 and 536.86

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Solution

The fourth proportional to 929.89, 1,283.16 and 536.86 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.89 : 1,283.16 = 536.86 : x
  2. Step 2: Convert to fraction form
    929.89/1,283.16 = 536.86/x
  3. Step 3: Cross multiply
    929.89x = 1,283.16 × 536.86
  4. Step 4: Simplify right side
    929.89x = 688,877.28
  5. Step 5: Solve for x
    x = 688,877.28/929.89
  6. Step 6: Final answer
    x = 740.82

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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.