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Finding the Fourth Proportional to 1,572.39, 2,359.09 and 476.86

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Solution

The fourth proportional to 1,572.39, 2,359.09 and 476.86 is: 715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.39 : 2,359.09 = 476.86 : x
  2. Step 2: Convert to fraction form
    1,572.39/2,359.09 = 476.86/x
  3. Step 3: Cross multiply
    1,572.39x = 2,359.09 × 476.86
  4. Step 4: Simplify right side
    1,572.39x = 1,124,955.66
  5. Step 5: Solve for x
    x = 1,124,955.66/1,572.39
  6. Step 6: Final answer
    x = 715.44

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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.