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Finding the Fourth Proportional to 1,007.64, 1,390.56 and 565.64

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Solution

The fourth proportional to 1,007.64, 1,390.56 and 565.64 is: 780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,390.56 = 565.64 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,390.56 = 565.64/x
  3. Step 3: Cross multiply
    1,007.64x = 1,390.56 × 565.64
  4. Step 4: Simplify right side
    1,007.64x = 786,556.36
  5. Step 5: Solve for x
    x = 786,556.36/1,007.64
  6. Step 6: Final answer
    x = 780.59

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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.