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Finding the Fourth Proportional to 685.84, 946.58 and 437.44

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Solution

The fourth proportional to 685.84, 946.58 and 437.44 is: 603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.84 : 946.58 = 437.44 : x
  2. Step 2: Convert to fraction form
    685.84/946.58 = 437.44/x
  3. Step 3: Cross multiply
    685.84x = 946.58 × 437.44
  4. Step 4: Simplify right side
    685.84x = 414,071.96
  5. Step 5: Solve for x
    x = 414,071.96/685.84
  6. Step 6: Final answer
    x = 603.74

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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.