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Finding the Fourth Proportional to 1,573.60, 2,356.80 and 803.20

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Solution

The fourth proportional to 1,573.60, 2,356.80 and 803.20 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.60 : 2,356.80 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,573.60/2,356.80 = 803.20/x
  3. Step 3: Cross multiply
    1,573.60x = 2,356.80 × 803.20
  4. Step 4: Simplify right side
    1,573.60x = 1,892,981.76
  5. Step 5: Solve for x
    x = 1,892,981.76/1,573.60
  6. Step 6: Final answer
    x = 1,202.96

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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.