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Finding the Fourth Proportional to 1,655.02, 2,477.16 and 873.91

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Solution

The fourth proportional to 1,655.02, 2,477.16 and 873.91 is: 1,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.02 : 2,477.16 = 873.91 : x
  2. Step 2: Convert to fraction form
    1,655.02/2,477.16 = 873.91/x
  3. Step 3: Cross multiply
    1,655.02x = 2,477.16 × 873.91
  4. Step 4: Simplify right side
    1,655.02x = 2,164,814.90
  5. Step 5: Solve for x
    x = 2,164,814.90/1,655.02
  6. Step 6: Final answer
    x = 1,308.03

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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.