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Finding the Fourth Proportional to 877.99, 1,314.64 and 774.19

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Solution

The fourth proportional to 877.99, 1,314.64 and 774.19 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.99 : 1,314.64 = 774.19 : x
  2. Step 2: Convert to fraction form
    877.99/1,314.64 = 774.19/x
  3. Step 3: Cross multiply
    877.99x = 1,314.64 × 774.19
  4. Step 4: Simplify right side
    877.99x = 1,017,781.14
  5. Step 5: Solve for x
    x = 1,017,781.14/877.99
  6. Step 6: Final answer
    x = 1,159.22

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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.