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Finding the Fourth Proportional to 1,066.77, 1,472.11 and 594.66

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Solution

The fourth proportional to 1,066.77, 1,472.11 and 594.66 is: 820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.77 : 1,472.11 = 594.66 : x
  2. Step 2: Convert to fraction form
    1,066.77/1,472.11 = 594.66/x
  3. Step 3: Cross multiply
    1,066.77x = 1,472.11 × 594.66
  4. Step 4: Simplify right side
    1,066.77x = 875,411.20
  5. Step 5: Solve for x
    x = 875,411.20/1,066.77
  6. Step 6: Final answer
    x = 820.62

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Double scale
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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.