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Finding the Fourth Proportional to 972.05, 1,454.39 and 539.51

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Solution

The fourth proportional to 972.05, 1,454.39 and 539.51 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,454.39 = 539.51 : x
  2. Step 2: Convert to fraction form
    972.05/1,454.39 = 539.51/x
  3. Step 3: Cross multiply
    972.05x = 1,454.39 × 539.51
  4. Step 4: Simplify right side
    972.05x = 784,655.25
  5. Step 5: Solve for x
    x = 784,655.25/972.05
  6. Step 6: Final answer
    x = 807.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.