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Finding the Fourth Proportional to 685.98, 946.76 and 437.42

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Solution

The fourth proportional to 685.98, 946.76 and 437.42 is: 603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.98 : 946.76 = 437.42 : x
  2. Step 2: Convert to fraction form
    685.98/946.76 = 437.42/x
  3. Step 3: Cross multiply
    685.98x = 946.76 × 437.42
  4. Step 4: Simplify right side
    685.98x = 414,124.84
  5. Step 5: Solve for x
    x = 414,124.84/685.98
  6. Step 6: Final answer
    x = 603.70

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Half scale
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Double scale
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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.