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Finding the Fourth Proportional to 653.41, 902.13 and 456.58

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Solution

The fourth proportional to 653.41, 902.13 and 456.58 is: 630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.41 : 902.13 = 456.58 : x
  2. Step 2: Convert to fraction form
    653.41/902.13 = 456.58/x
  3. Step 3: Cross multiply
    653.41x = 902.13 × 456.58
  4. Step 4: Simplify right side
    653.41x = 411,892.26
  5. Step 5: Solve for x
    x = 411,892.26/653.41
  6. Step 6: Final answer
    x = 630.38

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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.