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Finding the Fourth Proportional to 829.61, 1,145.02 and 498.23

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Solution

The fourth proportional to 829.61, 1,145.02 and 498.23 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.61 : 1,145.02 = 498.23 : x
  2. Step 2: Convert to fraction form
    829.61/1,145.02 = 498.23/x
  3. Step 3: Cross multiply
    829.61x = 1,145.02 × 498.23
  4. Step 4: Simplify right side
    829.61x = 570,483.31
  5. Step 5: Solve for x
    x = 570,483.31/829.61
  6. Step 6: Final answer
    x = 687.65

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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.