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Finding the Fourth Proportional to 1,526.83, 2,290.59 and 472.75

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Solution

The fourth proportional to 1,526.83, 2,290.59 and 472.75 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.83 : 2,290.59 = 472.75 : x
  2. Step 2: Convert to fraction form
    1,526.83/2,290.59 = 472.75/x
  3. Step 3: Cross multiply
    1,526.83x = 2,290.59 × 472.75
  4. Step 4: Simplify right side
    1,526.83x = 1,082,870.70
  5. Step 5: Solve for x
    x = 1,082,870.70/1,526.83
  6. Step 6: Final answer
    x = 709.23

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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.