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Finding the Fourth Proportional to 623.10, 860.16 and 402.06

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Solution

The fourth proportional to 623.10, 860.16 and 402.06 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 860.16 = 402.06 : x
  2. Step 2: Convert to fraction form
    623.10/860.16 = 402.06/x
  3. Step 3: Cross multiply
    623.10x = 860.16 × 402.06
  4. Step 4: Simplify right side
    623.10x = 345,835.93
  5. Step 5: Solve for x
    x = 345,835.93/623.10
  6. Step 6: Final answer
    x = 555.02

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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.