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Finding the Fourth Proportional to 1,012.16, 1,516.80 and 578.42

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Solution

The fourth proportional to 1,012.16, 1,516.80 and 578.42 is: 866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.16 : 1,516.80 = 578.42 : x
  2. Step 2: Convert to fraction form
    1,012.16/1,516.80 = 578.42/x
  3. Step 3: Cross multiply
    1,012.16x = 1,516.80 × 578.42
  4. Step 4: Simplify right side
    1,012.16x = 877,347.46
  5. Step 5: Solve for x
    x = 877,347.46/1,012.16
  6. Step 6: Final answer
    x = 866.81

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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.