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Finding the Fourth Proportional to 510.71, 703.79 and 370.68

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Solution

The fourth proportional to 510.71, 703.79 and 370.68 is: 510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 703.79 = 370.68 : x
  2. Step 2: Convert to fraction form
    510.71/703.79 = 370.68/x
  3. Step 3: Cross multiply
    510.71x = 703.79 × 370.68
  4. Step 4: Simplify right side
    510.71x = 260,877.77
  5. Step 5: Solve for x
    x = 260,877.77/510.71
  6. Step 6: Final answer
    x = 510.82

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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.