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Finding the Fourth Proportional to 824.16, 1,137.12 and 509.42

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Solution

The fourth proportional to 824.16, 1,137.12 and 509.42 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,137.12 = 509.42 : x
  2. Step 2: Convert to fraction form
    824.16/1,137.12 = 509.42/x
  3. Step 3: Cross multiply
    824.16x = 1,137.12 × 509.42
  4. Step 4: Simplify right side
    824.16x = 579,271.67
  5. Step 5: Solve for x
    x = 579,271.67/824.16
  6. Step 6: Final answer
    x = 702.86

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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.