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Finding the Fourth Proportional to 685.25, 945.66 and 374.75

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Solution

The fourth proportional to 685.25, 945.66 and 374.75 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.25 : 945.66 = 374.75 : x
  2. Step 2: Convert to fraction form
    685.25/945.66 = 374.75/x
  3. Step 3: Cross multiply
    685.25x = 945.66 × 374.75
  4. Step 4: Simplify right side
    685.25x = 354,386.09
  5. Step 5: Solve for x
    x = 354,386.09/685.25
  6. Step 6: Final answer
    x = 517.16

Related Problems

Find fourth proportional to 342.63, 472.83 and 187.38
Half scale
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Double scale
Find fourth proportional to 686.25, 947.04 and 375.75
Similar ratio
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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.