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Finding the Fourth Proportional to 971.10, 1,450.08 and 763.32

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Solution

The fourth proportional to 971.10, 1,450.08 and 763.32 is: 1,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.10 : 1,450.08 = 763.32 : x
  2. Step 2: Convert to fraction form
    971.10/1,450.08 = 763.32/x
  3. Step 3: Cross multiply
    971.10x = 1,450.08 × 763.32
  4. Step 4: Simplify right side
    971.10x = 1,106,875.07
  5. Step 5: Solve for x
    x = 1,106,875.07/971.10
  6. Step 6: Final answer
    x = 1,139.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.