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Finding the Fourth Proportional to 1,032.65, 1,549.74 and 643.22

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Solution

The fourth proportional to 1,032.65, 1,549.74 and 643.22 is: 965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.65 : 1,549.74 = 643.22 : x
  2. Step 2: Convert to fraction form
    1,032.65/1,549.74 = 643.22/x
  3. Step 3: Cross multiply
    1,032.65x = 1,549.74 × 643.22
  4. Step 4: Simplify right side
    1,032.65x = 996,823.76
  5. Step 5: Solve for x
    x = 996,823.76/1,032.65
  6. Step 6: Final answer
    x = 965.31

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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.