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Finding the Fourth Proportional to 971.62, 1,457.51 and 478.29

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Solution

The fourth proportional to 971.62, 1,457.51 and 478.29 is: 717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.62 : 1,457.51 = 478.29 : x
  2. Step 2: Convert to fraction form
    971.62/1,457.51 = 478.29/x
  3. Step 3: Cross multiply
    971.62x = 1,457.51 × 478.29
  4. Step 4: Simplify right side
    971.62x = 697,114.16
  5. Step 5: Solve for x
    x = 697,114.16/971.62
  6. Step 6: Final answer
    x = 717.48

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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.