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Finding the Fourth Proportional to 1,661.65, 2,492.74 and 507.13

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Solution

The fourth proportional to 1,661.65, 2,492.74 and 507.13 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.65 : 2,492.74 = 507.13 : x
  2. Step 2: Convert to fraction form
    1,661.65/2,492.74 = 507.13/x
  3. Step 3: Cross multiply
    1,661.65x = 2,492.74 × 507.13
  4. Step 4: Simplify right side
    1,661.65x = 1,264,143.24
  5. Step 5: Solve for x
    x = 1,264,143.24/1,661.65
  6. Step 6: Final answer
    x = 760.78

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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.