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Finding the Fourth Proportional to 1,562.76, 2,342.68 and 782.28

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Solution

The fourth proportional to 1,562.76, 2,342.68 and 782.28 is: 1,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.76 : 2,342.68 = 782.28 : x
  2. Step 2: Convert to fraction form
    1,562.76/2,342.68 = 782.28/x
  3. Step 3: Cross multiply
    1,562.76x = 2,342.68 × 782.28
  4. Step 4: Simplify right side
    1,562.76x = 1,832,631.71
  5. Step 5: Solve for x
    x = 1,832,631.71/1,562.76
  6. Step 6: Final answer
    x = 1,172.69

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1.5x scale

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.