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Finding the Fourth Proportional to 1,303.83, 1,957.84 and 574.83

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Solution

The fourth proportional to 1,303.83, 1,957.84 and 574.83 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.83 : 1,957.84 = 574.83 : x
  2. Step 2: Convert to fraction form
    1,303.83/1,957.84 = 574.83/x
  3. Step 3: Cross multiply
    1,303.83x = 1,957.84 × 574.83
  4. Step 4: Simplify right side
    1,303.83x = 1,125,423.73
  5. Step 5: Solve for x
    x = 1,125,423.73/1,303.83
  6. Step 6: Final answer
    x = 863.17

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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.