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Finding the Fourth Proportional to 1,887.57, 2,830.25 and 570.93

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Solution

The fourth proportional to 1,887.57, 2,830.25 and 570.93 is: 856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.57 : 2,830.25 = 570.93 : x
  2. Step 2: Convert to fraction form
    1,887.57/2,830.25 = 570.93/x
  3. Step 3: Cross multiply
    1,887.57x = 2,830.25 × 570.93
  4. Step 4: Simplify right side
    1,887.57x = 1,615,857.63
  5. Step 5: Solve for x
    x = 1,615,857.63/1,887.57
  6. Step 6: Final answer
    x = 856.05

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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.