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Finding the Fourth Proportional to 1,411.99, 1,948.19 and 822.40

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Solution

The fourth proportional to 1,411.99, 1,948.19 and 822.40 is: 1,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.99 : 1,948.19 = 822.40 : x
  2. Step 2: Convert to fraction form
    1,411.99/1,948.19 = 822.40/x
  3. Step 3: Cross multiply
    1,411.99x = 1,948.19 × 822.40
  4. Step 4: Simplify right side
    1,411.99x = 1,602,182.47
  5. Step 5: Solve for x
    x = 1,602,182.47/1,411.99
  6. Step 6: Final answer
    x = 1,134.70

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1.5x scale

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.