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Finding the Fourth Proportional to 752.90, 1,038.48 and 690.94

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Solution

The fourth proportional to 752.90, 1,038.48 and 690.94 is: 953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.90 : 1,038.48 = 690.94 : x
  2. Step 2: Convert to fraction form
    752.90/1,038.48 = 690.94/x
  3. Step 3: Cross multiply
    752.90x = 1,038.48 × 690.94
  4. Step 4: Simplify right side
    752.90x = 717,527.37
  5. Step 5: Solve for x
    x = 717,527.37/752.90
  6. Step 6: Final answer
    x = 953.02

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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.