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Finding the Fourth Proportional to 585.02, 803.89 and 468.38

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Solution

The fourth proportional to 585.02, 803.89 and 468.38 is: 643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 803.89 = 468.38 : x
  2. Step 2: Convert to fraction form
    585.02/803.89 = 468.38/x
  3. Step 3: Cross multiply
    585.02x = 803.89 × 468.38
  4. Step 4: Simplify right side
    585.02x = 376,526.00
  5. Step 5: Solve for x
    x = 376,526.00/585.02
  6. Step 6: Final answer
    x = 643.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.