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Finding the Fourth Proportional to 549.64, 759.24 and 510.76

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Solution

The fourth proportional to 549.64, 759.24 and 510.76 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 759.24 = 510.76 : x
  2. Step 2: Convert to fraction form
    549.64/759.24 = 510.76/x
  3. Step 3: Cross multiply
    549.64x = 759.24 × 510.76
  4. Step 4: Simplify right side
    549.64x = 387,789.42
  5. Step 5: Solve for x
    x = 387,789.42/549.64
  6. Step 6: Final answer
    x = 705.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.