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Finding the Fourth Proportional to 716.95, 1,075.43 and 230.01

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Solution

The fourth proportional to 716.95, 1,075.43 and 230.01 is: 345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.95 : 1,075.43 = 230.01 : x
  2. Step 2: Convert to fraction form
    716.95/1,075.43 = 230.01/x
  3. Step 3: Cross multiply
    716.95x = 1,075.43 × 230.01
  4. Step 4: Simplify right side
    716.95x = 247,354.90
  5. Step 5: Solve for x
    x = 247,354.90/716.95
  6. Step 6: Final answer
    x = 345.01

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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.