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Finding the Fourth Proportional to 581.65, 802.92 and 405.07

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Solution

The fourth proportional to 581.65, 802.92 and 405.07 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 802.92 = 405.07 : x
  2. Step 2: Convert to fraction form
    581.65/802.92 = 405.07/x
  3. Step 3: Cross multiply
    581.65x = 802.92 × 405.07
  4. Step 4: Simplify right side
    581.65x = 325,238.80
  5. Step 5: Solve for x
    x = 325,238.80/581.65
  6. Step 6: Final answer
    x = 559.17

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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.