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Finding the Fourth Proportional to 510.84, 703.70 and 370.54

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Solution

The fourth proportional to 510.84, 703.70 and 370.54 is: 510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 703.70 = 370.54 : x
  2. Step 2: Convert to fraction form
    510.84/703.70 = 370.54/x
  3. Step 3: Cross multiply
    510.84x = 703.70 × 370.54
  4. Step 4: Simplify right side
    510.84x = 260,749.92
  5. Step 5: Solve for x
    x = 260,749.92/510.84
  6. Step 6: Final answer
    x = 510.44

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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.