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Finding the Fourth Proportional to 1,007.36, 1,510.39 and 678.63

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Solution

The fourth proportional to 1,007.36, 1,510.39 and 678.63 is: 1,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.36 : 1,510.39 = 678.63 : x
  2. Step 2: Convert to fraction form
    1,007.36/1,510.39 = 678.63/x
  3. Step 3: Cross multiply
    1,007.36x = 1,510.39 × 678.63
  4. Step 4: Simplify right side
    1,007.36x = 1,024,995.97
  5. Step 5: Solve for x
    x = 1,024,995.97/1,007.36
  6. Step 6: Final answer
    x = 1,017.51

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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.