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Finding the Fourth Proportional to 1,528.99, 2,292.99 and 502.75

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Solution

The fourth proportional to 1,528.99, 2,292.99 and 502.75 is: 753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.99 : 2,292.99 = 502.75 : x
  2. Step 2: Convert to fraction form
    1,528.99/2,292.99 = 502.75/x
  3. Step 3: Cross multiply
    1,528.99x = 2,292.99 × 502.75
  4. Step 4: Simplify right side
    1,528.99x = 1,152,800.72
  5. Step 5: Solve for x
    x = 1,152,800.72/1,528.99
  6. Step 6: Final answer
    x = 753.96

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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.