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Finding the Fourth Proportional to 877.81, 1,317.17 and 569.58

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Solution

The fourth proportional to 877.81, 1,317.17 and 569.58 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.81 : 1,317.17 = 569.58 : x
  2. Step 2: Convert to fraction form
    877.81/1,317.17 = 569.58/x
  3. Step 3: Cross multiply
    877.81x = 1,317.17 × 569.58
  4. Step 4: Simplify right side
    877.81x = 750,233.69
  5. Step 5: Solve for x
    x = 750,233.69/877.81
  6. Step 6: Final answer
    x = 854.67

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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.