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Finding the Fourth Proportional to 410.79, 566.71 and 283.03

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Solution

The fourth proportional to 410.79, 566.71 and 283.03 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 566.71 = 283.03 : x
  2. Step 2: Convert to fraction form
    410.79/566.71 = 283.03/x
  3. Step 3: Cross multiply
    410.79x = 566.71 × 283.03
  4. Step 4: Simplify right side
    410.79x = 160,395.93
  5. Step 5: Solve for x
    x = 160,395.93/410.79
  6. Step 6: Final answer
    x = 390.46

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Why These Related Problems?

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