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Finding the Fourth Proportional to 1,528.98, 2,290 and 973.69

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Solution

The fourth proportional to 1,528.98, 2,290 and 973.69 is: 1,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.98 : 2,290 = 973.69 : x
  2. Step 2: Convert to fraction form
    1,528.98/2,290 = 973.69/x
  3. Step 3: Cross multiply
    1,528.98x = 2,290 × 973.69
  4. Step 4: Simplify right side
    1,528.98x = 2,229,750.10
  5. Step 5: Solve for x
    x = 2,229,750.10/1,528.98
  6. Step 6: Final answer
    x = 1,458.33

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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.