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Finding the Fourth Proportional to 705.29, 973.28 and 390.57

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Solution

The fourth proportional to 705.29, 973.28 and 390.57 is: 538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.29 : 973.28 = 390.57 : x
  2. Step 2: Convert to fraction form
    705.29/973.28 = 390.57/x
  3. Step 3: Cross multiply
    705.29x = 973.28 × 390.57
  4. Step 4: Simplify right side
    705.29x = 380,133.97
  5. Step 5: Solve for x
    x = 380,133.97/705.29
  6. Step 6: Final answer
    x = 538.98

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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.