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Finding the Fourth Proportional to 1,164.76, 1,746.88 and 971

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Solution

The fourth proportional to 1,164.76, 1,746.88 and 971 is: 1,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.76 : 1,746.88 = 971 : x
  2. Step 2: Convert to fraction form
    1,164.76/1,746.88 = 971/x
  3. Step 3: Cross multiply
    1,164.76x = 1,746.88 × 971
  4. Step 4: Simplify right side
    1,164.76x = 1,696,220.48
  5. Step 5: Solve for x
    x = 1,696,220.48/1,164.76
  6. Step 6: Final answer
    x = 1,456.28

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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.