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Finding the Fourth Proportional to 1,051.76, 1,451.48 and 586

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Solution

The fourth proportional to 1,051.76, 1,451.48 and 586 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.76 : 1,451.48 = 586 : x
  2. Step 2: Convert to fraction form
    1,051.76/1,451.48 = 586/x
  3. Step 3: Cross multiply
    1,051.76x = 1,451.48 × 586
  4. Step 4: Simplify right side
    1,051.76x = 850,567.28
  5. Step 5: Solve for x
    x = 850,567.28/1,051.76
  6. Step 6: Final answer
    x = 808.71

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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.