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Finding the Fourth Proportional to 1,018.69, 1,527.93 and 653.65

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Solution

The fourth proportional to 1,018.69, 1,527.93 and 653.65 is: 980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.69 : 1,527.93 = 653.65 : x
  2. Step 2: Convert to fraction form
    1,018.69/1,527.93 = 653.65/x
  3. Step 3: Cross multiply
    1,018.69x = 1,527.93 × 653.65
  4. Step 4: Simplify right side
    1,018.69x = 998,731.44
  5. Step 5: Solve for x
    x = 998,731.44/1,018.69
  6. Step 6: Final answer
    x = 980.41

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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.