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Finding the Fourth Proportional to 1,528.51, 2,292.75 and 488.50

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Solution

The fourth proportional to 1,528.51, 2,292.75 and 488.50 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.51 : 2,292.75 = 488.50 : x
  2. Step 2: Convert to fraction form
    1,528.51/2,292.75 = 488.50/x
  3. Step 3: Cross multiply
    1,528.51x = 2,292.75 × 488.50
  4. Step 4: Simplify right side
    1,528.51x = 1,120,000.81
  5. Step 5: Solve for x
    x = 1,120,000.81/1,528.51
  6. Step 6: Final answer
    x = 732.74

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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.