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Finding the Fourth Proportional to 920.24, 1,269.94 and 500.59

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Solution

The fourth proportional to 920.24, 1,269.94 and 500.59 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,269.94 = 500.59 : x
  2. Step 2: Convert to fraction form
    920.24/1,269.94 = 500.59/x
  3. Step 3: Cross multiply
    920.24x = 1,269.94 × 500.59
  4. Step 4: Simplify right side
    920.24x = 635,719.26
  5. Step 5: Solve for x
    x = 635,719.26/920.24
  6. Step 6: Final answer
    x = 690.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.