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Finding the Fourth Proportional to 607.23, 906.66 and 520.43

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Solution

The fourth proportional to 607.23, 906.66 and 520.43 is: 777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.23 : 906.66 = 520.43 : x
  2. Step 2: Convert to fraction form
    607.23/906.66 = 520.43/x
  3. Step 3: Cross multiply
    607.23x = 906.66 × 520.43
  4. Step 4: Simplify right side
    607.23x = 471,848.53
  5. Step 5: Solve for x
    x = 471,848.53/607.23
  6. Step 6: Final answer
    x = 777.05

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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.