Home / 1,117.57-1,677.57-824.15

Finding the Fourth Proportional to 1,117.57, 1,677.57 and 824.15

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Solution

The fourth proportional to 1,117.57, 1,677.57 and 824.15 is: 1,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.57 : 1,677.57 = 824.15 : x
  2. Step 2: Convert to fraction form
    1,117.57/1,677.57 = 824.15/x
  3. Step 3: Cross multiply
    1,117.57x = 1,677.57 × 824.15
  4. Step 4: Simplify right side
    1,117.57x = 1,382,569.32
  5. Step 5: Solve for x
    x = 1,382,569.32/1,117.57
  6. Step 6: Final answer
    x = 1,237.13

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1.5x scale

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.