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Finding the Fourth Proportional to 942.52, 1,300.67 and 528.52

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Solution

The fourth proportional to 942.52, 1,300.67 and 528.52 is: 729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.52 : 1,300.67 = 528.52 : x
  2. Step 2: Convert to fraction form
    942.52/1,300.67 = 528.52/x
  3. Step 3: Cross multiply
    942.52x = 1,300.67 × 528.52
  4. Step 4: Simplify right side
    942.52x = 687,430.11
  5. Step 5: Solve for x
    x = 687,430.11/942.52
  6. Step 6: Final answer
    x = 729.35

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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.