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Finding the Fourth Proportional to 1,253.64, 1,878.40 and 431.48

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Solution

The fourth proportional to 1,253.64, 1,878.40 and 431.48 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.64 : 1,878.40 = 431.48 : x
  2. Step 2: Convert to fraction form
    1,253.64/1,878.40 = 431.48/x
  3. Step 3: Cross multiply
    1,253.64x = 1,878.40 × 431.48
  4. Step 4: Simplify right side
    1,253.64x = 810,492.03
  5. Step 5: Solve for x
    x = 810,492.03/1,253.64
  6. Step 6: Final answer
    x = 646.51

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Double scale
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1.5x scale

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.