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Finding the Fourth Proportional to 623.16, 861.06 and 493.20

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Solution

The fourth proportional to 623.16, 861.06 and 493.20 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 861.06 = 493.20 : x
  2. Step 2: Convert to fraction form
    623.16/861.06 = 493.20/x
  3. Step 3: Cross multiply
    623.16x = 861.06 × 493.20
  4. Step 4: Simplify right side
    623.16x = 424,674.79
  5. Step 5: Solve for x
    x = 424,674.79/623.16
  6. Step 6: Final answer
    x = 681.49

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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.