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Finding the Fourth Proportional to 514.54, 705.31 and 507.62

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Solution

The fourth proportional to 514.54, 705.31 and 507.62 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 705.31 = 507.62 : x
  2. Step 2: Convert to fraction form
    514.54/705.31 = 507.62/x
  3. Step 3: Cross multiply
    514.54x = 705.31 × 507.62
  4. Step 4: Simplify right side
    514.54x = 358,026.92
  5. Step 5: Solve for x
    x = 358,026.92/514.54
  6. Step 6: Final answer
    x = 695.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.