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Finding the Fourth Proportional to 972.05, 1,457.62 and 355.32

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Solution

The fourth proportional to 972.05, 1,457.62 and 355.32 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,457.62 = 355.32 : x
  2. Step 2: Convert to fraction form
    972.05/1,457.62 = 355.32/x
  3. Step 3: Cross multiply
    972.05x = 1,457.62 × 355.32
  4. Step 4: Simplify right side
    972.05x = 517,921.54
  5. Step 5: Solve for x
    x = 517,921.54/972.05
  6. Step 6: Final answer
    x = 532.81

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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.