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Finding the Fourth Proportional to 1,329.14, 1,993.77 and 507.48

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Solution

The fourth proportional to 1,329.14, 1,993.77 and 507.48 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.14 : 1,993.77 = 507.48 : x
  2. Step 2: Convert to fraction form
    1,329.14/1,993.77 = 507.48/x
  3. Step 3: Cross multiply
    1,329.14x = 1,993.77 × 507.48
  4. Step 4: Simplify right side
    1,329.14x = 1,011,798.40
  5. Step 5: Solve for x
    x = 1,011,798.40/1,329.14
  6. Step 6: Final answer
    x = 761.25

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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.