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Finding the Fourth Proportional to 1,527.56, 2,291.86 and 553.74

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Solution

The fourth proportional to 1,527.56, 2,291.86 and 553.74 is: 830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.56 : 2,291.86 = 553.74 : x
  2. Step 2: Convert to fraction form
    1,527.56/2,291.86 = 553.74/x
  3. Step 3: Cross multiply
    1,527.56x = 2,291.86 × 553.74
  4. Step 4: Simplify right side
    1,527.56x = 1,269,094.56
  5. Step 5: Solve for x
    x = 1,269,094.56/1,527.56
  6. Step 6: Final answer
    x = 830.80

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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.