Home / 1,066.38-1,599.51-286.35

Finding the Fourth Proportional to 1,066.38, 1,599.51 and 286.35

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Solution

The fourth proportional to 1,066.38, 1,599.51 and 286.35 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.38 : 1,599.51 = 286.35 : x
  2. Step 2: Convert to fraction form
    1,066.38/1,599.51 = 286.35/x
  3. Step 3: Cross multiply
    1,066.38x = 1,599.51 × 286.35
  4. Step 4: Simplify right side
    1,066.38x = 458,019.69
  5. Step 5: Solve for x
    x = 458,019.69/1,066.38
  6. Step 6: Final answer
    x = 429.51

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Double scale
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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.