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Finding the Fourth Proportional to 1,370.40, 2,055.64 and 590.36

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Solution

The fourth proportional to 1,370.40, 2,055.64 and 590.36 is: 885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.40 : 2,055.64 = 590.36 : x
  2. Step 2: Convert to fraction form
    1,370.40/2,055.64 = 590.36/x
  3. Step 3: Cross multiply
    1,370.40x = 2,055.64 × 590.36
  4. Step 4: Simplify right side
    1,370.40x = 1,213,567.63
  5. Step 5: Solve for x
    x = 1,213,567.63/1,370.40
  6. Step 6: Final answer
    x = 885.56

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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.