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Finding the Fourth Proportional to 623.54, 859.81 and 424.50

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Solution

The fourth proportional to 623.54, 859.81 and 424.50 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 859.81 = 424.50 : x
  2. Step 2: Convert to fraction form
    623.54/859.81 = 424.50/x
  3. Step 3: Cross multiply
    623.54x = 859.81 × 424.50
  4. Step 4: Simplify right side
    623.54x = 364,989.35
  5. Step 5: Solve for x
    x = 364,989.35/623.54
  6. Step 6: Final answer
    x = 585.35

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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.