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Finding the Fourth Proportional to 510.71, 705.11 and 314.58

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Solution

The fourth proportional to 510.71, 705.11 and 314.58 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 705.11 = 314.58 : x
  2. Step 2: Convert to fraction form
    510.71/705.11 = 314.58/x
  3. Step 3: Cross multiply
    510.71x = 705.11 × 314.58
  4. Step 4: Simplify right side
    510.71x = 221,814.58
  5. Step 5: Solve for x
    x = 221,814.58/510.71
  6. Step 6: Final answer
    x = 434.33

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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.