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Finding the Fourth Proportional to 1,347.66, 2,021.28 and 470.29

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Solution

The fourth proportional to 1,347.66, 2,021.28 and 470.29 is: 705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.66 : 2,021.28 = 470.29 : x
  2. Step 2: Convert to fraction form
    1,347.66/2,021.28 = 470.29/x
  3. Step 3: Cross multiply
    1,347.66x = 2,021.28 × 470.29
  4. Step 4: Simplify right side
    1,347.66x = 950,587.77
  5. Step 5: Solve for x
    x = 950,587.77/1,347.66
  6. Step 6: Final answer
    x = 705.36

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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.