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Finding the Fourth Proportional to 557.19, 831.70 and 491.51

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Solution

The fourth proportional to 557.19, 831.70 and 491.51 is: 733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 831.70 = 491.51 : x
  2. Step 2: Convert to fraction form
    557.19/831.70 = 491.51/x
  3. Step 3: Cross multiply
    557.19x = 831.70 × 491.51
  4. Step 4: Simplify right side
    557.19x = 408,783.48
  5. Step 5: Solve for x
    x = 408,783.48/557.19
  6. Step 6: Final answer
    x = 733.65

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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.