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Finding the Fourth Proportional to 971.66, 1,341.16 and 579

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Solution

The fourth proportional to 971.66, 1,341.16 and 579 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,341.16 = 579 : x
  2. Step 2: Convert to fraction form
    971.66/1,341.16 = 579/x
  3. Step 3: Cross multiply
    971.66x = 1,341.16 × 579
  4. Step 4: Simplify right side
    971.66x = 776,531.64
  5. Step 5: Solve for x
    x = 776,531.64/971.66
  6. Step 6: Final answer
    x = 799.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.