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Finding the Fourth Proportional to 730.71, 1,006.43 and 619.51

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Solution

The fourth proportional to 730.71, 1,006.43 and 619.51 is: 853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.71 : 1,006.43 = 619.51 : x
  2. Step 2: Convert to fraction form
    730.71/1,006.43 = 619.51/x
  3. Step 3: Cross multiply
    730.71x = 1,006.43 × 619.51
  4. Step 4: Simplify right side
    730.71x = 623,490.35
  5. Step 5: Solve for x
    x = 623,490.35/730.71
  6. Step 6: Final answer
    x = 853.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.