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Finding the Fourth Proportional to 948.73, 1,421.80 and 717.43

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Solution

The fourth proportional to 948.73, 1,421.80 and 717.43 is: 1,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.73 : 1,421.80 = 717.43 : x
  2. Step 2: Convert to fraction form
    948.73/1,421.80 = 717.43/x
  3. Step 3: Cross multiply
    948.73x = 1,421.80 × 717.43
  4. Step 4: Simplify right side
    948.73x = 1,020,041.97
  5. Step 5: Solve for x
    x = 1,020,041.97/948.73
  6. Step 6: Final answer
    x = 1,075.17

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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.