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Finding the Fourth Proportional to 972.05, 1,457.71 and 424.10

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Solution

The fourth proportional to 972.05, 1,457.71 and 424.10 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,457.71 = 424.10 : x
  2. Step 2: Convert to fraction form
    972.05/1,457.71 = 424.10/x
  3. Step 3: Cross multiply
    972.05x = 1,457.71 × 424.10
  4. Step 4: Simplify right side
    972.05x = 618,214.81
  5. Step 5: Solve for x
    x = 618,214.81/972.05
  6. Step 6: Final answer
    x = 635.99

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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.