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Finding the Fourth Proportional to 619.08, 928.94 and 457.50

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Solution

The fourth proportional to 619.08, 928.94 and 457.50 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.08 : 928.94 = 457.50 : x
  2. Step 2: Convert to fraction form
    619.08/928.94 = 457.50/x
  3. Step 3: Cross multiply
    619.08x = 928.94 × 457.50
  4. Step 4: Simplify right side
    619.08x = 424,990.05
  5. Step 5: Solve for x
    x = 424,990.05/619.08
  6. Step 6: Final answer
    x = 686.49

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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.