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Finding the Fourth Proportional to 952.98, 1,428.75 and 519.90

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Solution

The fourth proportional to 952.98, 1,428.75 and 519.90 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.98 : 1,428.75 = 519.90 : x
  2. Step 2: Convert to fraction form
    952.98/1,428.75 = 519.90/x
  3. Step 3: Cross multiply
    952.98x = 1,428.75 × 519.90
  4. Step 4: Simplify right side
    952.98x = 742,807.13
  5. Step 5: Solve for x
    x = 742,807.13/952.98
  6. Step 6: Final answer
    x = 779.46

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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.