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Finding the Fourth Proportional to 1,007.69, 1,509.45 and 747.98

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Solution

The fourth proportional to 1,007.69, 1,509.45 and 747.98 is: 1,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.69 : 1,509.45 = 747.98 : x
  2. Step 2: Convert to fraction form
    1,007.69/1,509.45 = 747.98/x
  3. Step 3: Cross multiply
    1,007.69x = 1,509.45 × 747.98
  4. Step 4: Simplify right side
    1,007.69x = 1,129,038.41
  5. Step 5: Solve for x
    x = 1,129,038.41/1,007.69
  6. Step 6: Final answer
    x = 1,120.42

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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.