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Finding the Fourth Proportional to 1,431.63, 2,146.91 and 507.02

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Solution

The fourth proportional to 1,431.63, 2,146.91 and 507.02 is: 760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.63 : 2,146.91 = 507.02 : x
  2. Step 2: Convert to fraction form
    1,431.63/2,146.91 = 507.02/x
  3. Step 3: Cross multiply
    1,431.63x = 2,146.91 × 507.02
  4. Step 4: Simplify right side
    1,431.63x = 1,088,513.04
  5. Step 5: Solve for x
    x = 1,088,513.04/1,431.63
  6. Step 6: Final answer
    x = 760.33

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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.