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Finding the Fourth Proportional to 1,078.34, 1,617.65 and 530.54

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Solution

The fourth proportional to 1,078.34, 1,617.65 and 530.54 is: 795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.34 : 1,617.65 = 530.54 : x
  2. Step 2: Convert to fraction form
    1,078.34/1,617.65 = 530.54/x
  3. Step 3: Cross multiply
    1,078.34x = 1,617.65 × 530.54
  4. Step 4: Simplify right side
    1,078.34x = 858,217.29
  5. Step 5: Solve for x
    x = 858,217.29/1,078.34
  6. Step 6: Final answer
    x = 795.87

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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.