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Finding the Fourth Proportional to 1,051.76, 1,451.41 and 586.01

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Solution

The fourth proportional to 1,051.76, 1,451.41 and 586.01 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.76 : 1,451.41 = 586.01 : x
  2. Step 2: Convert to fraction form
    1,051.76/1,451.41 = 586.01/x
  3. Step 3: Cross multiply
    1,051.76x = 1,451.41 × 586.01
  4. Step 4: Simplify right side
    1,051.76x = 850,532.05
  5. Step 5: Solve for x
    x = 850,532.05/1,051.76
  6. Step 6: Final answer
    x = 808.68

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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.