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Finding the Fourth Proportional to 607, 914.64 and 540.70

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Solution

The fourth proportional to 607, 914.64 and 540.70 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    607 : 914.64 = 540.70 : x
  2. Step 2: Convert to fraction form
    607/914.64 = 540.70/x
  3. Step 3: Cross multiply
    607x = 914.64 × 540.70
  4. Step 4: Simplify right side
    607x = 494,538.57
  5. Step 5: Solve for x
    x = 494,538.57/607
  6. Step 6: Final answer
    x = 814.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.