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Finding the Fourth Proportional to 1,012.90, 1,516.89 and 578.74

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Solution

The fourth proportional to 1,012.90, 1,516.89 and 578.74 is: 866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.90 : 1,516.89 = 578.74 : x
  2. Step 2: Convert to fraction form
    1,012.90/1,516.89 = 578.74/x
  3. Step 3: Cross multiply
    1,012.90x = 1,516.89 × 578.74
  4. Step 4: Simplify right side
    1,012.90x = 877,877.33
  5. Step 5: Solve for x
    x = 877,877.33/1,012.90
  6. Step 6: Final answer
    x = 866.70

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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.