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Finding the Fourth Proportional to 510.78, 703.10 and 445.17

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Solution

The fourth proportional to 510.78, 703.10 and 445.17 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 703.10 = 445.17 : x
  2. Step 2: Convert to fraction form
    510.78/703.10 = 445.17/x
  3. Step 3: Cross multiply
    510.78x = 703.10 × 445.17
  4. Step 4: Simplify right side
    510.78x = 312,995.04
  5. Step 5: Solve for x
    x = 312,995.04/510.78
  6. Step 6: Final answer
    x = 612.78

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Double scale
Find fourth proportional to 511.78, 704.47 and 446.17
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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.