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Finding the Fourth Proportional to 546.52, 815.43 and 507.80

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Solution

The fourth proportional to 546.52, 815.43 and 507.80 is: 757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.52 : 815.43 = 507.80 : x
  2. Step 2: Convert to fraction form
    546.52/815.43 = 507.80/x
  3. Step 3: Cross multiply
    546.52x = 815.43 × 507.80
  4. Step 4: Simplify right side
    546.52x = 414,075.35
  5. Step 5: Solve for x
    x = 414,075.35/546.52
  6. Step 6: Final answer
    x = 757.67

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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.