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Finding the Fourth Proportional to 623.59, 860.34 and 402.13

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Solution

The fourth proportional to 623.59, 860.34 and 402.13 is: 554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.59 : 860.34 = 402.13 : x
  2. Step 2: Convert to fraction form
    623.59/860.34 = 402.13/x
  3. Step 3: Cross multiply
    623.59x = 860.34 × 402.13
  4. Step 4: Simplify right side
    623.59x = 345,968.52
  5. Step 5: Solve for x
    x = 345,968.52/623.59
  6. Step 6: Final answer
    x = 554.80

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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.