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Finding the Fourth Proportional to 877.26, 1,317.71 and 695.93

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Solution

The fourth proportional to 877.26, 1,317.71 and 695.93 is: 1,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.26 : 1,317.71 = 695.93 : x
  2. Step 2: Convert to fraction form
    877.26/1,317.71 = 695.93/x
  3. Step 3: Cross multiply
    877.26x = 1,317.71 × 695.93
  4. Step 4: Simplify right side
    877.26x = 917,029.07
  5. Step 5: Solve for x
    x = 917,029.07/877.26
  6. Step 6: Final answer
    x = 1,045.33

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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.