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Finding the Fourth Proportional to 716.91, 1,075.50 and 306.05

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Solution

The fourth proportional to 716.91, 1,075.50 and 306.05 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.91 : 1,075.50 = 306.05 : x
  2. Step 2: Convert to fraction form
    716.91/1,075.50 = 306.05/x
  3. Step 3: Cross multiply
    716.91x = 1,075.50 × 306.05
  4. Step 4: Simplify right side
    716.91x = 329,151.40
  5. Step 5: Solve for x
    x = 329,151.40/716.91
  6. Step 6: Final answer
    x = 459.13

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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.