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Finding the Fourth Proportional to 1,564.93, 2,347.30 and 394.91

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Solution

The fourth proportional to 1,564.93, 2,347.30 and 394.91 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.93 : 2,347.30 = 394.91 : x
  2. Step 2: Convert to fraction form
    1,564.93/2,347.30 = 394.91/x
  3. Step 3: Cross multiply
    1,564.93x = 2,347.30 × 394.91
  4. Step 4: Simplify right side
    1,564.93x = 926,970.27
  5. Step 5: Solve for x
    x = 926,970.27/1,564.93
  6. Step 6: Final answer
    x = 592.34

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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.