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Finding the Fourth Proportional to 972.50, 1,340.84 and 762.02

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Solution

The fourth proportional to 972.50, 1,340.84 and 762.02 is: 1,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.50 : 1,340.84 = 762.02 : x
  2. Step 2: Convert to fraction form
    972.50/1,340.84 = 762.02/x
  3. Step 3: Cross multiply
    972.50x = 1,340.84 × 762.02
  4. Step 4: Simplify right side
    972.50x = 1,021,746.90
  5. Step 5: Solve for x
    x = 1,021,746.90/972.50
  6. Step 6: Final answer
    x = 1,050.64

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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.