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Finding the Fourth Proportional to 581.07, 802.20 and 457.14

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Solution

The fourth proportional to 581.07, 802.20 and 457.14 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.07 : 802.20 = 457.14 : x
  2. Step 2: Convert to fraction form
    581.07/802.20 = 457.14/x
  3. Step 3: Cross multiply
    581.07x = 802.20 × 457.14
  4. Step 4: Simplify right side
    581.07x = 366,722.43
  5. Step 5: Solve for x
    x = 366,722.43/581.07
  6. Step 6: Final answer
    x = 631.11

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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.