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Finding the Fourth Proportional to 1,566.90, 2,353.95 and 1,505.70

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Solution

The fourth proportional to 1,566.90, 2,353.95 and 1,505.70 is: 2,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.90 : 2,353.95 = 1,505.70 : x
  2. Step 2: Convert to fraction form
    1,566.90/2,353.95 = 1,505.70/x
  3. Step 3: Cross multiply
    1,566.90x = 2,353.95 × 1,505.70
  4. Step 4: Simplify right side
    1,566.90x = 3,544,342.52
  5. Step 5: Solve for x
    x = 3,544,342.52/1,566.90
  6. Step 6: Final answer
    x = 2,262.01

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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.