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Finding the Fourth Proportional to 1,259.83, 1,889.27 and 529.01

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Solution

The fourth proportional to 1,259.83, 1,889.27 and 529.01 is: 793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.83 : 1,889.27 = 529.01 : x
  2. Step 2: Convert to fraction form
    1,259.83/1,889.27 = 529.01/x
  3. Step 3: Cross multiply
    1,259.83x = 1,889.27 × 529.01
  4. Step 4: Simplify right side
    1,259.83x = 999,437.36
  5. Step 5: Solve for x
    x = 999,437.36/1,259.83
  6. Step 6: Final answer
    x = 793.31

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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.