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Finding the Fourth Proportional to 536.93, 802.07 and 389.51

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Solution

The fourth proportional to 536.93, 802.07 and 389.51 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.93 : 802.07 = 389.51 : x
  2. Step 2: Convert to fraction form
    536.93/802.07 = 389.51/x
  3. Step 3: Cross multiply
    536.93x = 802.07 × 389.51
  4. Step 4: Simplify right side
    536.93x = 312,415.80
  5. Step 5: Solve for x
    x = 312,415.80/536.93
  6. Step 6: Final answer
    x = 581.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.