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Finding the Fourth Proportional to 556.35, 831.24 and 537.21

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Solution

The fourth proportional to 556.35, 831.24 and 537.21 is: 802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 831.24 = 537.21 : x
  2. Step 2: Convert to fraction form
    556.35/831.24 = 537.21/x
  3. Step 3: Cross multiply
    556.35x = 831.24 × 537.21
  4. Step 4: Simplify right side
    556.35x = 446,550.44
  5. Step 5: Solve for x
    x = 446,550.44/556.35
  6. Step 6: Final answer
    x = 802.64

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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.