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Finding the Fourth Proportional to 823.77, 1,137.03 and 509.28

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Solution

The fourth proportional to 823.77, 1,137.03 and 509.28 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.77 : 1,137.03 = 509.28 : x
  2. Step 2: Convert to fraction form
    823.77/1,137.03 = 509.28/x
  3. Step 3: Cross multiply
    823.77x = 1,137.03 × 509.28
  4. Step 4: Simplify right side
    823.77x = 579,066.64
  5. Step 5: Solve for x
    x = 579,066.64/823.77
  6. Step 6: Final answer
    x = 702.95

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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.