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Finding the Fourth Proportional to 623.01, 865.71 and 616.26

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Solution

The fourth proportional to 623.01, 865.71 and 616.26 is: 856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.01 : 865.71 = 616.26 : x
  2. Step 2: Convert to fraction form
    623.01/865.71 = 616.26/x
  3. Step 3: Cross multiply
    623.01x = 865.71 × 616.26
  4. Step 4: Simplify right side
    623.01x = 533,502.44
  5. Step 5: Solve for x
    x = 533,502.44/623.01
  6. Step 6: Final answer
    x = 856.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.