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Finding the Fourth Proportional to 507.57, 705.14 and 503.07

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Solution

The fourth proportional to 507.57, 705.14 and 503.07 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 705.14 = 503.07 : x
  2. Step 2: Convert to fraction form
    507.57/705.14 = 503.07/x
  3. Step 3: Cross multiply
    507.57x = 705.14 × 503.07
  4. Step 4: Simplify right side
    507.57x = 354,732.26
  5. Step 5: Solve for x
    x = 354,732.26/507.57
  6. Step 6: Final answer
    x = 698.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.