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Finding the Fourth Proportional to 1,147.07, 1,582.95 and 623.09

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Solution

The fourth proportional to 1,147.07, 1,582.95 and 623.09 is: 859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.07 : 1,582.95 = 623.09 : x
  2. Step 2: Convert to fraction form
    1,147.07/1,582.95 = 623.09/x
  3. Step 3: Cross multiply
    1,147.07x = 1,582.95 × 623.09
  4. Step 4: Simplify right side
    1,147.07x = 986,320.32
  5. Step 5: Solve for x
    x = 986,320.32/1,147.07
  6. Step 6: Final answer
    x = 859.86

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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.