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Finding the Fourth Proportional to 942.10, 1,299.05 and 693.57

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Solution

The fourth proportional to 942.10, 1,299.05 and 693.57 is: 956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 1,299.05 = 693.57 : x
  2. Step 2: Convert to fraction form
    942.10/1,299.05 = 693.57/x
  3. Step 3: Cross multiply
    942.10x = 1,299.05 × 693.57
  4. Step 4: Simplify right side
    942.10x = 900,972.15
  5. Step 5: Solve for x
    x = 900,972.15/942.10
  6. Step 6: Final answer
    x = 956.34

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1.5x scale

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.