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Finding the Fourth Proportional to 693.14, 1,038.35 and 448.47

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Solution

The fourth proportional to 693.14, 1,038.35 and 448.47 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.14 : 1,038.35 = 448.47 : x
  2. Step 2: Convert to fraction form
    693.14/1,038.35 = 448.47/x
  3. Step 3: Cross multiply
    693.14x = 1,038.35 × 448.47
  4. Step 4: Simplify right side
    693.14x = 465,666.58
  5. Step 5: Solve for x
    x = 465,666.58/693.14
  6. Step 6: Final answer
    x = 671.83

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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.