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Finding the Fourth Proportional to 1,434.78, 2,151.78 and 510.22

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Solution

The fourth proportional to 1,434.78, 2,151.78 and 510.22 is: 765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.78 : 2,151.78 = 510.22 : x
  2. Step 2: Convert to fraction form
    1,434.78/2,151.78 = 510.22/x
  3. Step 3: Cross multiply
    1,434.78x = 2,151.78 × 510.22
  4. Step 4: Simplify right side
    1,434.78x = 1,097,881.19
  5. Step 5: Solve for x
    x = 1,097,881.19/1,434.78
  6. Step 6: Final answer
    x = 765.19

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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.