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Finding the Fourth Proportional to 1,625.73, 2,438.34 and 530.09

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Solution

The fourth proportional to 1,625.73, 2,438.34 and 530.09 is: 795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.73 : 2,438.34 = 530.09 : x
  2. Step 2: Convert to fraction form
    1,625.73/2,438.34 = 530.09/x
  3. Step 3: Cross multiply
    1,625.73x = 2,438.34 × 530.09
  4. Step 4: Simplify right side
    1,625.73x = 1,292,528.52
  5. Step 5: Solve for x
    x = 1,292,528.52/1,625.73
  6. Step 6: Final answer
    x = 795.05

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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.