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Finding the Fourth Proportional to 1,658.74, 2,290.13 and 1,029.93

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Solution

The fourth proportional to 1,658.74, 2,290.13 and 1,029.93 is: 1,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.74 : 2,290.13 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    1,658.74/2,290.13 = 1,029.93/x
  3. Step 3: Cross multiply
    1,658.74x = 2,290.13 × 1,029.93
  4. Step 4: Simplify right side
    1,658.74x = 2,358,673.59
  5. Step 5: Solve for x
    x = 2,358,673.59/1,658.74
  6. Step 6: Final answer
    x = 1,421.97

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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.