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Finding the Fourth Proportional to 686.04, 946.86 and 437.16

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Solution

The fourth proportional to 686.04, 946.86 and 437.16 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.04 : 946.86 = 437.16 : x
  2. Step 2: Convert to fraction form
    686.04/946.86 = 437.16/x
  3. Step 3: Cross multiply
    686.04x = 946.86 × 437.16
  4. Step 4: Simplify right side
    686.04x = 413,929.32
  5. Step 5: Solve for x
    x = 413,929.32/686.04
  6. Step 6: Final answer
    x = 603.36

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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.