Home / 1,538.27-2,307.56-564.65

Finding the Fourth Proportional to 1,538.27, 2,307.56 and 564.65

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Solution

The fourth proportional to 1,538.27, 2,307.56 and 564.65 is: 847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.27 : 2,307.56 = 564.65 : x
  2. Step 2: Convert to fraction form
    1,538.27/2,307.56 = 564.65/x
  3. Step 3: Cross multiply
    1,538.27x = 2,307.56 × 564.65
  4. Step 4: Simplify right side
    1,538.27x = 1,302,963.75
  5. Step 5: Solve for x
    x = 1,302,963.75/1,538.27
  6. Step 6: Final answer
    x = 847.03

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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.