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Finding the Fourth Proportional to 1,887.52, 2,830.17 and 570.88

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Solution

The fourth proportional to 1,887.52, 2,830.17 and 570.88 is: 855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.52 : 2,830.17 = 570.88 : x
  2. Step 2: Convert to fraction form
    1,887.52/2,830.17 = 570.88/x
  3. Step 3: Cross multiply
    1,887.52x = 2,830.17 × 570.88
  4. Step 4: Simplify right side
    1,887.52x = 1,615,682.51
  5. Step 5: Solve for x
    x = 1,615,682.51/1,887.52
  6. Step 6: Final answer
    x = 855.98

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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.