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Finding the Fourth Proportional to 510.85, 767.03 and 501.61

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Solution

The fourth proportional to 510.85, 767.03 and 501.61 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.85 : 767.03 = 501.61 : x
  2. Step 2: Convert to fraction form
    510.85/767.03 = 501.61/x
  3. Step 3: Cross multiply
    510.85x = 767.03 × 501.61
  4. Step 4: Simplify right side
    510.85x = 384,749.25
  5. Step 5: Solve for x
    x = 384,749.25/510.85
  6. Step 6: Final answer
    x = 753.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.