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Finding the Fourth Proportional to 1,655.35, 2,470.42 and 1,588.35

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Solution

The fourth proportional to 1,655.35, 2,470.42 and 1,588.35 is: 2,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.35 : 2,470.42 = 1,588.35 : x
  2. Step 2: Convert to fraction form
    1,655.35/2,470.42 = 1,588.35/x
  3. Step 3: Cross multiply
    1,655.35x = 2,470.42 × 1,588.35
  4. Step 4: Simplify right side
    1,655.35x = 3,923,902.86
  5. Step 5: Solve for x
    x = 3,923,902.86/1,655.35
  6. Step 6: Final answer
    x = 2,370.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.