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Finding the Fourth Proportional to 1,240.96, 1,712.46 and 848.08

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Solution

The fourth proportional to 1,240.96, 1,712.46 and 848.08 is: 1,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.96 : 1,712.46 = 848.08 : x
  2. Step 2: Convert to fraction form
    1,240.96/1,712.46 = 848.08/x
  3. Step 3: Cross multiply
    1,240.96x = 1,712.46 × 848.08
  4. Step 4: Simplify right side
    1,240.96x = 1,452,303.08
  5. Step 5: Solve for x
    x = 1,452,303.08/1,240.96
  6. Step 6: Final answer
    x = 1,170.31

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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.