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Finding the Fourth Proportional to 971.82, 1,457.21 and 508.48

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Solution

The fourth proportional to 971.82, 1,457.21 and 508.48 is: 762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.82 : 1,457.21 = 508.48 : x
  2. Step 2: Convert to fraction form
    971.82/1,457.21 = 508.48/x
  3. Step 3: Cross multiply
    971.82x = 1,457.21 × 508.48
  4. Step 4: Simplify right side
    971.82x = 740,959.77
  5. Step 5: Solve for x
    x = 740,959.77/971.82
  6. Step 6: Final answer
    x = 762.45

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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.