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Finding the Fourth Proportional to 942.71, 1,300.93 and 528.71

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Solution

The fourth proportional to 942.71, 1,300.93 and 528.71 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.71 : 1,300.93 = 528.71 : x
  2. Step 2: Convert to fraction form
    942.71/1,300.93 = 528.71/x
  3. Step 3: Cross multiply
    942.71x = 1,300.93 × 528.71
  4. Step 4: Simplify right side
    942.71x = 687,814.70
  5. Step 5: Solve for x
    x = 687,814.70/942.71
  6. Step 6: Final answer
    x = 729.61

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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.