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Finding the Fourth Proportional to 690.13, 1,036.22 and 280.07

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Solution

The fourth proportional to 690.13, 1,036.22 and 280.07 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 1,036.22 = 280.07 : x
  2. Step 2: Convert to fraction form
    690.13/1,036.22 = 280.07/x
  3. Step 3: Cross multiply
    690.13x = 1,036.22 × 280.07
  4. Step 4: Simplify right side
    690.13x = 290,214.14
  5. Step 5: Solve for x
    x = 290,214.14/690.13
  6. Step 6: Final answer
    x = 420.52

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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.