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Finding the Fourth Proportional to 510.49, 770.27 and 491.52

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Solution

The fourth proportional to 510.49, 770.27 and 491.52 is: 741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.49 : 770.27 = 491.52 : x
  2. Step 2: Convert to fraction form
    510.49/770.27 = 491.52/x
  3. Step 3: Cross multiply
    510.49x = 770.27 × 491.52
  4. Step 4: Simplify right side
    510.49x = 378,603.11
  5. Step 5: Solve for x
    x = 378,603.11/510.49
  6. Step 6: Final answer
    x = 741.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.