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Finding the Fourth Proportional to 1,045.99, 1,566.78 and 679.69

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Solution

The fourth proportional to 1,045.99, 1,566.78 and 679.69 is: 1,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.99 : 1,566.78 = 679.69 : x
  2. Step 2: Convert to fraction form
    1,045.99/1,566.78 = 679.69/x
  3. Step 3: Cross multiply
    1,045.99x = 1,566.78 × 679.69
  4. Step 4: Simplify right side
    1,045.99x = 1,064,924.70
  5. Step 5: Solve for x
    x = 1,064,924.70/1,045.99
  6. Step 6: Final answer
    x = 1,018.10

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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.