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Finding the Fourth Proportional to 1,603.83, 2,406.06 and 507.90

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Solution

The fourth proportional to 1,603.83, 2,406.06 and 507.90 is: 761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.83 : 2,406.06 = 507.90 : x
  2. Step 2: Convert to fraction form
    1,603.83/2,406.06 = 507.90/x
  3. Step 3: Cross multiply
    1,603.83x = 2,406.06 × 507.90
  4. Step 4: Simplify right side
    1,603.83x = 1,222,037.87
  5. Step 5: Solve for x
    x = 1,222,037.87/1,603.83
  6. Step 6: Final answer
    x = 761.95

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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.