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Finding the Fourth Proportional to 1,007.22, 1,389.90 and 565.08

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Solution

The fourth proportional to 1,007.22, 1,389.90 and 565.08 is: 779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.22 : 1,389.90 = 565.08 : x
  2. Step 2: Convert to fraction form
    1,007.22/1,389.90 = 565.08/x
  3. Step 3: Cross multiply
    1,007.22x = 1,389.90 × 565.08
  4. Step 4: Simplify right side
    1,007.22x = 785,404.69
  5. Step 5: Solve for x
    x = 785,404.69/1,007.22
  6. Step 6: Final answer
    x = 779.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.