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Finding the Fourth Proportional to 686.22, 946.70 and 437.50

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Solution

The fourth proportional to 686.22, 946.70 and 437.50 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 946.70 = 437.50 : x
  2. Step 2: Convert to fraction form
    686.22/946.70 = 437.50/x
  3. Step 3: Cross multiply
    686.22x = 946.70 × 437.50
  4. Step 4: Simplify right side
    686.22x = 414,184.35
  5. Step 5: Solve for x
    x = 414,184.35/686.22
  6. Step 6: Final answer
    x = 603.57

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1.5x scale

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.