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Finding the Fourth Proportional to 971.41, 1,340.53 and 529.32

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Solution

The fourth proportional to 971.41, 1,340.53 and 529.32 is: 730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.41 : 1,340.53 = 529.32 : x
  2. Step 2: Convert to fraction form
    971.41/1,340.53 = 529.32/x
  3. Step 3: Cross multiply
    971.41x = 1,340.53 × 529.32
  4. Step 4: Simplify right side
    971.41x = 709,569.34
  5. Step 5: Solve for x
    x = 709,569.34/971.41
  6. Step 6: Final answer
    x = 730.45

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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.