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Finding the Fourth Proportional to 952.82, 1,430.55 and 490.93

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Solution

The fourth proportional to 952.82, 1,430.55 and 490.93 is: 737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,430.55 = 490.93 : x
  2. Step 2: Convert to fraction form
    952.82/1,430.55 = 490.93/x
  3. Step 3: Cross multiply
    952.82x = 1,430.55 × 490.93
  4. Step 4: Simplify right side
    952.82x = 702,290.30
  5. Step 5: Solve for x
    x = 702,290.30/952.82
  6. Step 6: Final answer
    x = 737.07

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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.