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Finding the Fourth Proportional to 594, 820.04 and 410.32

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Solution

The fourth proportional to 594, 820.04 and 410.32 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 820.04 = 410.32 : x
  2. Step 2: Convert to fraction form
    594/820.04 = 410.32/x
  3. Step 3: Cross multiply
    594x = 820.04 × 410.32
  4. Step 4: Simplify right side
    594x = 336,478.81
  5. Step 5: Solve for x
    x = 336,478.81/594
  6. Step 6: Final answer
    x = 566.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.