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Finding the Fourth Proportional to 546.86, 815.79 and 507.57

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Solution

The fourth proportional to 546.86, 815.79 and 507.57 is: 757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 815.79 = 507.57 : x
  2. Step 2: Convert to fraction form
    546.86/815.79 = 507.57/x
  3. Step 3: Cross multiply
    546.86x = 815.79 × 507.57
  4. Step 4: Simplify right side
    546.86x = 414,070.53
  5. Step 5: Solve for x
    x = 414,070.53/546.86
  6. Step 6: Final answer
    x = 757.19

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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.