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Finding the Fourth Proportional to 1,303.35, 1,800.14 and 950.87

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Solution

The fourth proportional to 1,303.35, 1,800.14 and 950.87 is: 1,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.35 : 1,800.14 = 950.87 : x
  2. Step 2: Convert to fraction form
    1,303.35/1,800.14 = 950.87/x
  3. Step 3: Cross multiply
    1,303.35x = 1,800.14 × 950.87
  4. Step 4: Simplify right side
    1,303.35x = 1,711,699.12
  5. Step 5: Solve for x
    x = 1,711,699.12/1,303.35
  6. Step 6: Final answer
    x = 1,313.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.