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Finding the Fourth Proportional to 942.60, 1,300.56 and 690.90

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Solution

The fourth proportional to 942.60, 1,300.56 and 690.90 is: 953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.60 : 1,300.56 = 690.90 : x
  2. Step 2: Convert to fraction form
    942.60/1,300.56 = 690.90/x
  3. Step 3: Cross multiply
    942.60x = 1,300.56 × 690.90
  4. Step 4: Simplify right side
    942.60x = 898,549.44
  5. Step 5: Solve for x
    x = 898,549.44/942.60
  6. Step 6: Final answer
    x = 953.26

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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.