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Finding the Fourth Proportional to 1,303.68, 1,953.12 and 654.40

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Solution

The fourth proportional to 1,303.68, 1,953.12 and 654.40 is: 980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.68 : 1,953.12 = 654.40 : x
  2. Step 2: Convert to fraction form
    1,303.68/1,953.12 = 654.40/x
  3. Step 3: Cross multiply
    1,303.68x = 1,953.12 × 654.40
  4. Step 4: Simplify right side
    1,303.68x = 1,278,121.73
  5. Step 5: Solve for x
    x = 1,278,121.73/1,303.68
  6. Step 6: Final answer
    x = 980.40

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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.