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Finding the Fourth Proportional to 774.07, 1,160.57 and 286.99

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Solution

The fourth proportional to 774.07, 1,160.57 and 286.99 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.07 : 1,160.57 = 286.99 : x
  2. Step 2: Convert to fraction form
    774.07/1,160.57 = 286.99/x
  3. Step 3: Cross multiply
    774.07x = 1,160.57 × 286.99
  4. Step 4: Simplify right side
    774.07x = 333,075.52
  5. Step 5: Solve for x
    x = 333,075.52/774.07
  6. Step 6: Final answer
    x = 430.29

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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.