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Finding the Fourth Proportional to 685.64, 946.34 and 436.76

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Solution

The fourth proportional to 685.64, 946.34 and 436.76 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 946.34 = 436.76 : x
  2. Step 2: Convert to fraction form
    685.64/946.34 = 436.76/x
  3. Step 3: Cross multiply
    685.64x = 946.34 × 436.76
  4. Step 4: Simplify right side
    685.64x = 413,323.46
  5. Step 5: Solve for x
    x = 413,323.46/685.64
  6. Step 6: Final answer
    x = 602.83

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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.