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Finding the Fourth Proportional to 548, 754.74 and 509.74

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Solution

The fourth proportional to 548, 754.74 and 509.74 is: 702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 754.74 = 509.74 : x
  2. Step 2: Convert to fraction form
    548/754.74 = 509.74/x
  3. Step 3: Cross multiply
    548x = 754.74 × 509.74
  4. Step 4: Simplify right side
    548x = 384,721.17
  5. Step 5: Solve for x
    x = 384,721.17/548
  6. Step 6: Final answer
    x = 702.05

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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.