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Finding the Fourth Proportional to 653.30, 977.54 and 393.46

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Solution

The fourth proportional to 653.30, 977.54 and 393.46 is: 588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.30 : 977.54 = 393.46 : x
  2. Step 2: Convert to fraction form
    653.30/977.54 = 393.46/x
  3. Step 3: Cross multiply
    653.30x = 977.54 × 393.46
  4. Step 4: Simplify right side
    653.30x = 384,616.03
  5. Step 5: Solve for x
    x = 384,616.03/653.30
  6. Step 6: Final answer
    x = 588.73

Related Problems

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Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.