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Finding the Fourth Proportional to 1,301.04, 1,950.39 and 570.03

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Solution

The fourth proportional to 1,301.04, 1,950.39 and 570.03 is: 854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.04 : 1,950.39 = 570.03 : x
  2. Step 2: Convert to fraction form
    1,301.04/1,950.39 = 570.03/x
  3. Step 3: Cross multiply
    1,301.04x = 1,950.39 × 570.03
  4. Step 4: Simplify right side
    1,301.04x = 1,111,780.81
  5. Step 5: Solve for x
    x = 1,111,780.81/1,301.04
  6. Step 6: Final answer
    x = 854.53

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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.