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Finding the Fourth Proportional to 586.62, 810 and 455.40

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Solution

The fourth proportional to 586.62, 810 and 455.40 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 810 = 455.40 : x
  2. Step 2: Convert to fraction form
    586.62/810 = 455.40/x
  3. Step 3: Cross multiply
    586.62x = 810 × 455.40
  4. Step 4: Simplify right side
    586.62x = 368,874
  5. Step 5: Solve for x
    x = 368,874/586.62
  6. Step 6: Final answer
    x = 628.81

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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.