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Finding the Fourth Proportional to 670.31, 920.10 and 594.98

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Solution

The fourth proportional to 670.31, 920.10 and 594.98 is: 816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.31 : 920.10 = 594.98 : x
  2. Step 2: Convert to fraction form
    670.31/920.10 = 594.98/x
  3. Step 3: Cross multiply
    670.31x = 920.10 × 594.98
  4. Step 4: Simplify right side
    670.31x = 547,438.12
  5. Step 5: Solve for x
    x = 547,438.12/670.31
  6. Step 6: Final answer
    x = 816.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.