Home / 1,045.12-1,564.62-976.72

Finding the Fourth Proportional to 1,045.12, 1,564.62 and 976.72

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Solution

The fourth proportional to 1,045.12, 1,564.62 and 976.72 is: 1,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.12 : 1,564.62 = 976.72 : x
  2. Step 2: Convert to fraction form
    1,045.12/1,564.62 = 976.72/x
  3. Step 3: Cross multiply
    1,045.12x = 1,564.62 × 976.72
  4. Step 4: Simplify right side
    1,045.12x = 1,528,195.65
  5. Step 5: Solve for x
    x = 1,528,195.65/1,045.12
  6. Step 6: Final answer
    x = 1,462.22

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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.