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Finding the Fourth Proportional to 942.50, 1,300.70 and 544.22

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Solution

The fourth proportional to 942.50, 1,300.70 and 544.22 is: 751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.50 : 1,300.70 = 544.22 : x
  2. Step 2: Convert to fraction form
    942.50/1,300.70 = 544.22/x
  3. Step 3: Cross multiply
    942.50x = 1,300.70 × 544.22
  4. Step 4: Simplify right side
    942.50x = 707,867.48
  5. Step 5: Solve for x
    x = 707,867.48/942.50
  6. Step 6: Final answer
    x = 751.05

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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.