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Finding the Fourth Proportional to 1,431.67, 2,147.10 and 507.10

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Solution

The fourth proportional to 1,431.67, 2,147.10 and 507.10 is: 760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.67 : 2,147.10 = 507.10 : x
  2. Step 2: Convert to fraction form
    1,431.67/2,147.10 = 507.10/x
  3. Step 3: Cross multiply
    1,431.67x = 2,147.10 × 507.10
  4. Step 4: Simplify right side
    1,431.67x = 1,088,801.05
  5. Step 5: Solve for x
    x = 1,088,801.05/1,431.67
  6. Step 6: Final answer
    x = 760.51

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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.