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Finding the Fourth Proportional to 705.17, 973.10 and 390.41

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Solution

The fourth proportional to 705.17, 973.10 and 390.41 is: 538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.17 : 973.10 = 390.41 : x
  2. Step 2: Convert to fraction form
    705.17/973.10 = 390.41/x
  3. Step 3: Cross multiply
    705.17x = 973.10 × 390.41
  4. Step 4: Simplify right side
    705.17x = 379,901.15
  5. Step 5: Solve for x
    x = 379,901.15/705.17
  6. Step 6: Final answer
    x = 538.74

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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.