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Finding the Fourth Proportional to 623.14, 859.46 and 476.12

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Solution

The fourth proportional to 623.14, 859.46 and 476.12 is: 656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.14 : 859.46 = 476.12 : x
  2. Step 2: Convert to fraction form
    623.14/859.46 = 476.12/x
  3. Step 3: Cross multiply
    623.14x = 859.46 × 476.12
  4. Step 4: Simplify right side
    623.14x = 409,206.10
  5. Step 5: Solve for x
    x = 409,206.10/623.14
  6. Step 6: Final answer
    x = 656.68

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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.