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Finding the Fourth Proportional to 971.57, 1,340.64 and 709.13

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Solution

The fourth proportional to 971.57, 1,340.64 and 709.13 is: 978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.57 : 1,340.64 = 709.13 : x
  2. Step 2: Convert to fraction form
    971.57/1,340.64 = 709.13/x
  3. Step 3: Cross multiply
    971.57x = 1,340.64 × 709.13
  4. Step 4: Simplify right side
    971.57x = 950,681.34
  5. Step 5: Solve for x
    x = 950,681.34/971.57
  6. Step 6: Final answer
    x = 978.51

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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.