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Finding the Fourth Proportional to 774.50, 1,156.01 and 720.32

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Solution

The fourth proportional to 774.50, 1,156.01 and 720.32 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.50 : 1,156.01 = 720.32 : x
  2. Step 2: Convert to fraction form
    774.50/1,156.01 = 720.32/x
  3. Step 3: Cross multiply
    774.50x = 1,156.01 × 720.32
  4. Step 4: Simplify right side
    774.50x = 832,687.74
  5. Step 5: Solve for x
    x = 832,687.74/774.50
  6. Step 6: Final answer
    x = 1,075.14

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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.