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Finding the Fourth Proportional to 742.40, 1,023.90 and 692.72

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Solution

The fourth proportional to 742.40, 1,023.90 and 692.72 is: 955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.40 : 1,023.90 = 692.72 : x
  2. Step 2: Convert to fraction form
    742.40/1,023.90 = 692.72/x
  3. Step 3: Cross multiply
    742.40x = 1,023.90 × 692.72
  4. Step 4: Simplify right side
    742.40x = 709,276.01
  5. Step 5: Solve for x
    x = 709,276.01/742.40
  6. Step 6: Final answer
    x = 955.38

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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.