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Finding the Fourth Proportional to 510.89, 705.36 and 392.65

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Solution

The fourth proportional to 510.89, 705.36 and 392.65 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 705.36 = 392.65 : x
  2. Step 2: Convert to fraction form
    510.89/705.36 = 392.65/x
  3. Step 3: Cross multiply
    510.89x = 705.36 × 392.65
  4. Step 4: Simplify right side
    510.89x = 276,956.08
  5. Step 5: Solve for x
    x = 276,956.08/510.89
  6. Step 6: Final answer
    x = 542.11

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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.