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Finding the Fourth Proportional to 822.99, 1,135.39 and 524.15

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Solution

The fourth proportional to 822.99, 1,135.39 and 524.15 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.99 : 1,135.39 = 524.15 : x
  2. Step 2: Convert to fraction form
    822.99/1,135.39 = 524.15/x
  3. Step 3: Cross multiply
    822.99x = 1,135.39 × 524.15
  4. Step 4: Simplify right side
    822.99x = 595,117.51
  5. Step 5: Solve for x
    x = 595,117.51/822.99
  6. Step 6: Final answer
    x = 723.12

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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.