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Finding the Fourth Proportional to 1,298.99, 1,947.32 and 477.07

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Solution

The fourth proportional to 1,298.99, 1,947.32 and 477.07 is: 715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.99 : 1,947.32 = 477.07 : x
  2. Step 2: Convert to fraction form
    1,298.99/1,947.32 = 477.07/x
  3. Step 3: Cross multiply
    1,298.99x = 1,947.32 × 477.07
  4. Step 4: Simplify right side
    1,298.99x = 929,007.95
  5. Step 5: Solve for x
    x = 929,007.95/1,298.99
  6. Step 6: Final answer
    x = 715.18

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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.