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Finding the Fourth Proportional to 1,653.97, 2,281.62 and 1,064.71

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Solution

The fourth proportional to 1,653.97, 2,281.62 and 1,064.71 is: 1,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.97 : 2,281.62 = 1,064.71 : x
  2. Step 2: Convert to fraction form
    1,653.97/2,281.62 = 1,064.71/x
  3. Step 3: Cross multiply
    1,653.97x = 2,281.62 × 1,064.71
  4. Step 4: Simplify right side
    1,653.97x = 2,429,263.63
  5. Step 5: Solve for x
    x = 2,429,263.63/1,653.97
  6. Step 6: Final answer
    x = 1,468.75

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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.