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Finding the Fourth Proportional to 875.21, 1,312.23 and 613.78

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Solution

The fourth proportional to 875.21, 1,312.23 and 613.78 is: 920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.21 : 1,312.23 = 613.78 : x
  2. Step 2: Convert to fraction form
    875.21/1,312.23 = 613.78/x
  3. Step 3: Cross multiply
    875.21x = 1,312.23 × 613.78
  4. Step 4: Simplify right side
    875.21x = 805,419.55
  5. Step 5: Solve for x
    x = 805,419.55/875.21
  6. Step 6: Final answer
    x = 920.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.