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Finding the Fourth Proportional to 1,012.32, 1,516.80 and 578.40

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Solution

The fourth proportional to 1,012.32, 1,516.80 and 578.40 is: 866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,516.80 = 578.40 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,516.80 = 578.40/x
  3. Step 3: Cross multiply
    1,012.32x = 1,516.80 × 578.40
  4. Step 4: Simplify right side
    1,012.32x = 877,317.12
  5. Step 5: Solve for x
    x = 877,317.12/1,012.32
  6. Step 6: Final answer
    x = 866.64

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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.