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Finding the Fourth Proportional to 1,658.82, 2,477.13 and 1,574.58

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Solution

The fourth proportional to 1,658.82, 2,477.13 and 1,574.58 is: 2,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.82 : 2,477.13 = 1,574.58 : x
  2. Step 2: Convert to fraction form
    1,658.82/2,477.13 = 1,574.58/x
  3. Step 3: Cross multiply
    1,658.82x = 2,477.13 × 1,574.58
  4. Step 4: Simplify right side
    1,658.82x = 3,900,439.36
  5. Step 5: Solve for x
    x = 3,900,439.36/1,658.82
  6. Step 6: Final answer
    x = 2,351.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.