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Finding the Fourth Proportional to 1,607.61, 2,399.64 and 1,477.61

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Solution

The fourth proportional to 1,607.61, 2,399.64 and 1,477.61 is: 2,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.61 : 2,399.64 = 1,477.61 : x
  2. Step 2: Convert to fraction form
    1,607.61/2,399.64 = 1,477.61/x
  3. Step 3: Cross multiply
    1,607.61x = 2,399.64 × 1,477.61
  4. Step 4: Simplify right side
    1,607.61x = 3,545,720.06
  5. Step 5: Solve for x
    x = 3,545,720.06/1,607.61
  6. Step 6: Final answer
    x = 2,205.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.