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Finding the Fourth Proportional to 581.25, 802.11 and 315.69

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Solution

The fourth proportional to 581.25, 802.11 and 315.69 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 802.11 = 315.69 : x
  2. Step 2: Convert to fraction form
    581.25/802.11 = 315.69/x
  3. Step 3: Cross multiply
    581.25x = 802.11 × 315.69
  4. Step 4: Simplify right side
    581.25x = 253,214.10
  5. Step 5: Solve for x
    x = 253,214.10/581.25
  6. Step 6: Final answer
    x = 435.64

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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.