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Finding the Fourth Proportional to 971.56, 1,341.44 and 598.65

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Solution

The fourth proportional to 971.56, 1,341.44 and 598.65 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,341.44 = 598.65 : x
  2. Step 2: Convert to fraction form
    971.56/1,341.44 = 598.65/x
  3. Step 3: Cross multiply
    971.56x = 1,341.44 × 598.65
  4. Step 4: Simplify right side
    971.56x = 803,053.06
  5. Step 5: Solve for x
    x = 803,053.06/971.56
  6. Step 6: Final answer
    x = 826.56

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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.