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Finding the Fourth Proportional to 1,145.18, 1,580.06 and 772.84

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Solution

The fourth proportional to 1,145.18, 1,580.06 and 772.84 is: 1,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.18 : 1,580.06 = 772.84 : x
  2. Step 2: Convert to fraction form
    1,145.18/1,580.06 = 772.84/x
  3. Step 3: Cross multiply
    1,145.18x = 1,580.06 × 772.84
  4. Step 4: Simplify right side
    1,145.18x = 1,221,133.57
  5. Step 5: Solve for x
    x = 1,221,133.57/1,145.18
  6. Step 6: Final answer
    x = 1,066.32

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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.