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Finding the Fourth Proportional to 623.46, 859.66 and 511.08

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Solution

The fourth proportional to 623.46, 859.66 and 511.08 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 859.66 = 511.08 : x
  2. Step 2: Convert to fraction form
    623.46/859.66 = 511.08/x
  3. Step 3: Cross multiply
    623.46x = 859.66 × 511.08
  4. Step 4: Simplify right side
    623.46x = 439,355.03
  5. Step 5: Solve for x
    x = 439,355.03/623.46
  6. Step 6: Final answer
    x = 704.70

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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.