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Finding the Fourth Proportional to 1,887.30, 2,830.91 and 500.60

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Solution

The fourth proportional to 1,887.30, 2,830.91 and 500.60 is: 750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.30 : 2,830.91 = 500.60 : x
  2. Step 2: Convert to fraction form
    1,887.30/2,830.91 = 500.60/x
  3. Step 3: Cross multiply
    1,887.30x = 2,830.91 × 500.60
  4. Step 4: Simplify right side
    1,887.30x = 1,417,136.89
  5. Step 5: Solve for x
    x = 1,417,136.89/1,887.30
  6. Step 6: Final answer
    x = 750.88

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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.