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Finding the Fourth Proportional to 607.02, 906.14 and 514.74

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Solution

The fourth proportional to 607.02, 906.14 and 514.74 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.02 : 906.14 = 514.74 : x
  2. Step 2: Convert to fraction form
    607.02/906.14 = 514.74/x
  3. Step 3: Cross multiply
    607.02x = 906.14 × 514.74
  4. Step 4: Simplify right side
    607.02x = 466,426.50
  5. Step 5: Solve for x
    x = 466,426.50/607.02
  6. Step 6: Final answer
    x = 768.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.