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Finding the Fourth Proportional to 623.15, 858.42 and 534.34

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Solution

The fourth proportional to 623.15, 858.42 and 534.34 is: 736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 858.42 = 534.34 : x
  2. Step 2: Convert to fraction form
    623.15/858.42 = 534.34/x
  3. Step 3: Cross multiply
    623.15x = 858.42 × 534.34
  4. Step 4: Simplify right side
    623.15x = 458,688.14
  5. Step 5: Solve for x
    x = 458,688.14/623.15
  6. Step 6: Final answer
    x = 736.08

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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.