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Finding the Fourth Proportional to 1,309.05, 1,963.53 and 529.02

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Solution

The fourth proportional to 1,309.05, 1,963.53 and 529.02 is: 793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.05 : 1,963.53 = 529.02 : x
  2. Step 2: Convert to fraction form
    1,309.05/1,963.53 = 529.02/x
  3. Step 3: Cross multiply
    1,309.05x = 1,963.53 × 529.02
  4. Step 4: Simplify right side
    1,309.05x = 1,038,746.64
  5. Step 5: Solve for x
    x = 1,038,746.64/1,309.05
  6. Step 6: Final answer
    x = 793.51

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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.