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Finding the Fourth Proportional to 1,139.24, 1,707.53 and 523.01

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Solution

The fourth proportional to 1,139.24, 1,707.53 and 523.01 is: 783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.24 : 1,707.53 = 523.01 : x
  2. Step 2: Convert to fraction form
    1,139.24/1,707.53 = 523.01/x
  3. Step 3: Cross multiply
    1,139.24x = 1,707.53 × 523.01
  4. Step 4: Simplify right side
    1,139.24x = 893,044.11
  5. Step 5: Solve for x
    x = 893,044.11/1,139.24
  6. Step 6: Final answer
    x = 783.90

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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.