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Finding the Fourth Proportional to 603.45, 831.70 and 497.91

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Solution

The fourth proportional to 603.45, 831.70 and 497.91 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 831.70 = 497.91 : x
  2. Step 2: Convert to fraction form
    603.45/831.70 = 497.91/x
  3. Step 3: Cross multiply
    603.45x = 831.70 × 497.91
  4. Step 4: Simplify right side
    603.45x = 414,115.49
  5. Step 5: Solve for x
    x = 414,115.49/603.45
  6. Step 6: Final answer
    x = 686.25

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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.