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Finding the Fourth Proportional to 1,870.39, 2,805.57 and 571.87

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Solution

The fourth proportional to 1,870.39, 2,805.57 and 571.87 is: 857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.39 : 2,805.57 = 571.87 : x
  2. Step 2: Convert to fraction form
    1,870.39/2,805.57 = 571.87/x
  3. Step 3: Cross multiply
    1,870.39x = 2,805.57 × 571.87
  4. Step 4: Simplify right side
    1,870.39x = 1,604,421.32
  5. Step 5: Solve for x
    x = 1,604,421.32/1,870.39
  6. Step 6: Final answer
    x = 857.80

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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.