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Finding the Fourth Proportional to 685.68, 947.16 and 653.28

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Solution

The fourth proportional to 685.68, 947.16 and 653.28 is: 902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 947.16 = 653.28 : x
  2. Step 2: Convert to fraction form
    685.68/947.16 = 653.28/x
  3. Step 3: Cross multiply
    685.68x = 947.16 × 653.28
  4. Step 4: Simplify right side
    685.68x = 618,760.68
  5. Step 5: Solve for x
    x = 618,760.68/685.68
  6. Step 6: Final answer
    x = 902.40

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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.