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Finding the Fourth Proportional to 581.71, 802.69 and 333.01

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Solution

The fourth proportional to 581.71, 802.69 and 333.01 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.71 : 802.69 = 333.01 : x
  2. Step 2: Convert to fraction form
    581.71/802.69 = 333.01/x
  3. Step 3: Cross multiply
    581.71x = 802.69 × 333.01
  4. Step 4: Simplify right side
    581.71x = 267,306.10
  5. Step 5: Solve for x
    x = 267,306.10/581.71
  6. Step 6: Final answer
    x = 459.52

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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.