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Finding the Fourth Proportional to 653, 901.70 and 456.63

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Solution

The fourth proportional to 653, 901.70 and 456.63 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 901.70 = 456.63 : x
  2. Step 2: Convert to fraction form
    653/901.70 = 456.63/x
  3. Step 3: Cross multiply
    653x = 901.70 × 456.63
  4. Step 4: Simplify right side
    653x = 411,743.27
  5. Step 5: Solve for x
    x = 411,743.27/653
  6. Step 6: Final answer
    x = 630.54

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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.