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Finding the Fourth Proportional to 1,066.13, 1,598.94 and 407.87

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Solution

The fourth proportional to 1,066.13, 1,598.94 and 407.87 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.13 : 1,598.94 = 407.87 : x
  2. Step 2: Convert to fraction form
    1,066.13/1,598.94 = 407.87/x
  3. Step 3: Cross multiply
    1,066.13x = 1,598.94 × 407.87
  4. Step 4: Simplify right side
    1,066.13x = 652,159.66
  5. Step 5: Solve for x
    x = 652,159.66/1,066.13
  6. Step 6: Final answer
    x = 611.71

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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.