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Finding the Fourth Proportional to 710.82, 981.30 and 594.18

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Solution

The fourth proportional to 710.82, 981.30 and 594.18 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 981.30 = 594.18 : x
  2. Step 2: Convert to fraction form
    710.82/981.30 = 594.18/x
  3. Step 3: Cross multiply
    710.82x = 981.30 × 594.18
  4. Step 4: Simplify right side
    710.82x = 583,068.83
  5. Step 5: Solve for x
    x = 583,068.83/710.82
  6. Step 6: Final answer
    x = 820.28

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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.