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Finding the Fourth Proportional to 1,007.65, 1,390.55 and 559.56

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Solution

The fourth proportional to 1,007.65, 1,390.55 and 559.56 is: 772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.65 : 1,390.55 = 559.56 : x
  2. Step 2: Convert to fraction form
    1,007.65/1,390.55 = 559.56/x
  3. Step 3: Cross multiply
    1,007.65x = 1,390.55 × 559.56
  4. Step 4: Simplify right side
    1,007.65x = 778,096.16
  5. Step 5: Solve for x
    x = 778,096.16/1,007.65
  6. Step 6: Final answer
    x = 772.19

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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.