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Finding the Fourth Proportional to 623.93, 861.00 and 358.19

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Solution

The fourth proportional to 623.93, 861.00 and 358.19 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.93 : 861.00 = 358.19 : x
  2. Step 2: Convert to fraction form
    623.93/861.00 = 358.19/x
  3. Step 3: Cross multiply
    623.93x = 861.00 × 358.19
  4. Step 4: Simplify right side
    623.93x = 308,395.49
  5. Step 5: Solve for x
    x = 308,395.49/623.93
  6. Step 6: Final answer
    x = 494.28

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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.