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Finding the Fourth Proportional to 654.26, 902.31 and 430.32

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Solution

The fourth proportional to 654.26, 902.31 and 430.32 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.26 : 902.31 = 430.32 : x
  2. Step 2: Convert to fraction form
    654.26/902.31 = 430.32/x
  3. Step 3: Cross multiply
    654.26x = 902.31 × 430.32
  4. Step 4: Simplify right side
    654.26x = 388,283.81
  5. Step 5: Solve for x
    x = 388,283.81/654.26
  6. Step 6: Final answer
    x = 593.47

Related Problems

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Double scale
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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.