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Finding the Fourth Proportional to 556.65, 831.35 and 523.53

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Solution

The fourth proportional to 556.65, 831.35 and 523.53 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 831.35 = 523.53 : x
  2. Step 2: Convert to fraction form
    556.65/831.35 = 523.53/x
  3. Step 3: Cross multiply
    556.65x = 831.35 × 523.53
  4. Step 4: Simplify right side
    556.65x = 435,237.97
  5. Step 5: Solve for x
    x = 435,237.97/556.65
  6. Step 6: Final answer
    x = 781.89

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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.