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Finding the Fourth Proportional to 824.28, 1,137.16 and 509.32

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Solution

The fourth proportional to 824.28, 1,137.16 and 509.32 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,137.16 = 509.32 : x
  2. Step 2: Convert to fraction form
    824.28/1,137.16 = 509.32/x
  3. Step 3: Cross multiply
    824.28x = 1,137.16 × 509.32
  4. Step 4: Simplify right side
    824.28x = 579,178.33
  5. Step 5: Solve for x
    x = 579,178.33/824.28
  6. Step 6: Final answer
    x = 702.65

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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.