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Finding the Fourth Proportional to 971.69, 1,457.26 and 423.74

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Solution

The fourth proportional to 971.69, 1,457.26 and 423.74 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.69 : 1,457.26 = 423.74 : x
  2. Step 2: Convert to fraction form
    971.69/1,457.26 = 423.74/x
  3. Step 3: Cross multiply
    971.69x = 1,457.26 × 423.74
  4. Step 4: Simplify right side
    971.69x = 617,501.94
  5. Step 5: Solve for x
    x = 617,501.94/971.69
  6. Step 6: Final answer
    x = 635.50

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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.