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Finding the Fourth Proportional to 510.84, 705.24 and 380.16

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Solution

The fourth proportional to 510.84, 705.24 and 380.16 is: 524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 705.24 = 380.16 : x
  2. Step 2: Convert to fraction form
    510.84/705.24 = 380.16/x
  3. Step 3: Cross multiply
    510.84x = 705.24 × 380.16
  4. Step 4: Simplify right side
    510.84x = 268,104.04
  5. Step 5: Solve for x
    x = 268,104.04/510.84
  6. Step 6: Final answer
    x = 524.83

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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.