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Finding the Fourth Proportional to 561.90, 831.45 and 561.90

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Solution

The fourth proportional to 561.90, 831.45 and 561.90 is: 831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 831.45 = 561.90 : x
  2. Step 2: Convert to fraction form
    561.90/831.45 = 561.90/x
  3. Step 3: Cross multiply
    561.90x = 831.45 × 561.90
  4. Step 4: Simplify right side
    561.90x = 467,191.76
  5. Step 5: Solve for x
    x = 467,191.76/561.90
  6. Step 6: Final answer
    x = 831.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.