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Finding the Fourth Proportional to 1,907.21, 2,859.68 and 590.57

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Solution

The fourth proportional to 1,907.21, 2,859.68 and 590.57 is: 885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.21 : 2,859.68 = 590.57 : x
  2. Step 2: Convert to fraction form
    1,907.21/2,859.68 = 590.57/x
  3. Step 3: Cross multiply
    1,907.21x = 2,859.68 × 590.57
  4. Step 4: Simplify right side
    1,907.21x = 1,688,841.22
  5. Step 5: Solve for x
    x = 1,688,841.22/1,907.21
  6. Step 6: Final answer
    x = 885.50

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1.5x scale

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.