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Finding the Fourth Proportional to 585.20, 807 and 454.16

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Solution

The fourth proportional to 585.20, 807 and 454.16 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.20 : 807 = 454.16 : x
  2. Step 2: Convert to fraction form
    585.20/807 = 454.16/x
  3. Step 3: Cross multiply
    585.20x = 807 × 454.16
  4. Step 4: Simplify right side
    585.20x = 366,507.12
  5. Step 5: Solve for x
    x = 366,507.12/585.20
  6. Step 6: Final answer
    x = 626.29

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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.