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Finding the Fourth Proportional to 1,661.75, 2,492.63 and 507.50

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Solution

The fourth proportional to 1,661.75, 2,492.63 and 507.50 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.75 : 2,492.63 = 507.50 : x
  2. Step 2: Convert to fraction form
    1,661.75/2,492.63 = 507.50/x
  3. Step 3: Cross multiply
    1,661.75x = 2,492.63 × 507.50
  4. Step 4: Simplify right side
    1,661.75x = 1,265,009.73
  5. Step 5: Solve for x
    x = 1,265,009.73/1,661.75
  6. Step 6: Final answer
    x = 761.25

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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.