Home / 1,587.36-2,381.64-766.20

Finding the Fourth Proportional to 1,587.36, 2,381.64 and 766.20

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Solution

The fourth proportional to 1,587.36, 2,381.64 and 766.20 is: 1,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.36 : 2,381.64 = 766.20 : x
  2. Step 2: Convert to fraction form
    1,587.36/2,381.64 = 766.20/x
  3. Step 3: Cross multiply
    1,587.36x = 2,381.64 × 766.20
  4. Step 4: Simplify right side
    1,587.36x = 1,824,812.57
  5. Step 5: Solve for x
    x = 1,824,812.57/1,587.36
  6. Step 6: Final answer
    x = 1,149.59

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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.