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Finding the Fourth Proportional to 971.72, 1,457.87 and 313.59

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Solution

The fourth proportional to 971.72, 1,457.87 and 313.59 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,457.87 = 313.59 : x
  2. Step 2: Convert to fraction form
    971.72/1,457.87 = 313.59/x
  3. Step 3: Cross multiply
    971.72x = 1,457.87 × 313.59
  4. Step 4: Simplify right side
    971.72x = 457,167.59
  5. Step 5: Solve for x
    x = 457,167.59/971.72
  6. Step 6: Final answer
    x = 470.47

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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.