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Finding the Fourth Proportional to 603.34, 831.76 and 509.71

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Solution

The fourth proportional to 603.34, 831.76 and 509.71 is: 702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.34 : 831.76 = 509.71 : x
  2. Step 2: Convert to fraction form
    603.34/831.76 = 509.71/x
  3. Step 3: Cross multiply
    603.34x = 831.76 × 509.71
  4. Step 4: Simplify right side
    603.34x = 423,956.39
  5. Step 5: Solve for x
    x = 423,956.39/603.34
  6. Step 6: Final answer
    x = 702.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.