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Finding the Fourth Proportional to 1,526.00, 2,287.62 and 551.87

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Solution

The fourth proportional to 1,526.00, 2,287.62 and 551.87 is: 827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.00 : 2,287.62 = 551.87 : x
  2. Step 2: Convert to fraction form
    1,526.00/2,287.62 = 551.87/x
  3. Step 3: Cross multiply
    1,526.00x = 2,287.62 × 551.87
  4. Step 4: Simplify right side
    1,526.00x = 1,262,457.41
  5. Step 5: Solve for x
    x = 1,262,457.41/1,526.00
  6. Step 6: Final answer
    x = 827.30

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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.