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Finding the Fourth Proportional to 1,292.50, 1,783.74 and 761.50

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Solution

The fourth proportional to 1,292.50, 1,783.74 and 761.50 is: 1,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.50 : 1,783.74 = 761.50 : x
  2. Step 2: Convert to fraction form
    1,292.50/1,783.74 = 761.50/x
  3. Step 3: Cross multiply
    1,292.50x = 1,783.74 × 761.50
  4. Step 4: Simplify right side
    1,292.50x = 1,358,318.01
  5. Step 5: Solve for x
    x = 1,358,318.01/1,292.50
  6. Step 6: Final answer
    x = 1,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.