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Finding the Fourth Proportional to 929.84, 1,283.18 and 531.54

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Solution

The fourth proportional to 929.84, 1,283.18 and 531.54 is: 733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.84 : 1,283.18 = 531.54 : x
  2. Step 2: Convert to fraction form
    929.84/1,283.18 = 531.54/x
  3. Step 3: Cross multiply
    929.84x = 1,283.18 × 531.54
  4. Step 4: Simplify right side
    929.84x = 682,058.84
  5. Step 5: Solve for x
    x = 682,058.84/929.84
  6. Step 6: Final answer
    x = 733.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.