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Finding the Fourth Proportional to 581.48, 802.22 and 407.06

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Solution

The fourth proportional to 581.48, 802.22 and 407.06 is: 561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 802.22 = 407.06 : x
  2. Step 2: Convert to fraction form
    581.48/802.22 = 407.06/x
  3. Step 3: Cross multiply
    581.48x = 802.22 × 407.06
  4. Step 4: Simplify right side
    581.48x = 326,551.67
  5. Step 5: Solve for x
    x = 326,551.67/581.48
  6. Step 6: Final answer
    x = 561.59

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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.