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Finding the Fourth Proportional to 1,653.55, 2,281.65 and 1,064.14

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Solution

The fourth proportional to 1,653.55, 2,281.65 and 1,064.14 is: 1,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.55 : 2,281.65 = 1,064.14 : x
  2. Step 2: Convert to fraction form
    1,653.55/2,281.65 = 1,064.14/x
  3. Step 3: Cross multiply
    1,653.55x = 2,281.65 × 1,064.14
  4. Step 4: Simplify right side
    1,653.55x = 2,427,995.03
  5. Step 5: Solve for x
    x = 2,427,995.03/1,653.55
  6. Step 6: Final answer
    x = 1,468.35

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1.5x scale

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.