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Finding the Fourth Proportional to 623.76, 934.64 and 417.54

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Solution

The fourth proportional to 623.76, 934.64 and 417.54 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 934.64 = 417.54 : x
  2. Step 2: Convert to fraction form
    623.76/934.64 = 417.54/x
  3. Step 3: Cross multiply
    623.76x = 934.64 × 417.54
  4. Step 4: Simplify right side
    623.76x = 390,249.59
  5. Step 5: Solve for x
    x = 390,249.59/623.76
  6. Step 6: Final answer
    x = 625.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.