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Finding the Fourth Proportional to 972.30, 1,342.73 and 692.55

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Solution

The fourth proportional to 972.30, 1,342.73 and 692.55 is: 956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,342.73 = 692.55 : x
  2. Step 2: Convert to fraction form
    972.30/1,342.73 = 692.55/x
  3. Step 3: Cross multiply
    972.30x = 1,342.73 × 692.55
  4. Step 4: Simplify right side
    972.30x = 929,905.50
  5. Step 5: Solve for x
    x = 929,905.50/972.30
  6. Step 6: Final answer
    x = 956.39

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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.