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Finding the Fourth Proportional to 586.28, 807.21 and 497.57

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Solution

The fourth proportional to 586.28, 807.21 and 497.57 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.28 : 807.21 = 497.57 : x
  2. Step 2: Convert to fraction form
    586.28/807.21 = 497.57/x
  3. Step 3: Cross multiply
    586.28x = 807.21 × 497.57
  4. Step 4: Simplify right side
    586.28x = 401,639.44
  5. Step 5: Solve for x
    x = 401,639.44/586.28
  6. Step 6: Final answer
    x = 685.07

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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.