Home / 1,488.08-2,053.48-824.91

Finding the Fourth Proportional to 1,488.08, 2,053.48 and 824.91

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Solution

The fourth proportional to 1,488.08, 2,053.48 and 824.91 is: 1,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.08 : 2,053.48 = 824.91 : x
  2. Step 2: Convert to fraction form
    1,488.08/2,053.48 = 824.91/x
  3. Step 3: Cross multiply
    1,488.08x = 2,053.48 × 824.91
  4. Step 4: Simplify right side
    1,488.08x = 1,693,936.19
  5. Step 5: Solve for x
    x = 1,693,936.19/1,488.08
  6. Step 6: Final answer
    x = 1,138.34

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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.