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Finding the Fourth Proportional to 1,653.17, 2,479.77 and 678.89

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Solution

The fourth proportional to 1,653.17, 2,479.77 and 678.89 is: 1,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.17 : 2,479.77 = 678.89 : x
  2. Step 2: Convert to fraction form
    1,653.17/2,479.77 = 678.89/x
  3. Step 3: Cross multiply
    1,653.17x = 2,479.77 × 678.89
  4. Step 4: Simplify right side
    1,653.17x = 1,683,491.06
  5. Step 5: Solve for x
    x = 1,683,491.06/1,653.17
  6. Step 6: Final answer
    x = 1,018.34

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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.