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Finding the Fourth Proportional to 686.00, 946.14 and 602.93

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Solution

The fourth proportional to 686.00, 946.14 and 602.93 is: 831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.00 : 946.14 = 602.93 : x
  2. Step 2: Convert to fraction form
    686.00/946.14 = 602.93/x
  3. Step 3: Cross multiply
    686.00x = 946.14 × 602.93
  4. Step 4: Simplify right side
    686.00x = 570,456.29
  5. Step 5: Solve for x
    x = 570,456.29/686.00
  6. Step 6: Final answer
    x = 831.57

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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.