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Finding the Fourth Proportional to 971.36, 1,340.65 and 551.74

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Solution

The fourth proportional to 971.36, 1,340.65 and 551.74 is: 761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.36 : 1,340.65 = 551.74 : x
  2. Step 2: Convert to fraction form
    971.36/1,340.65 = 551.74/x
  3. Step 3: Cross multiply
    971.36x = 1,340.65 × 551.74
  4. Step 4: Simplify right side
    971.36x = 739,690.23
  5. Step 5: Solve for x
    x = 739,690.23/971.36
  6. Step 6: Final answer
    x = 761.50

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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.