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Finding the Fourth Proportional to 653.24, 973.46 and 635.42

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Solution

The fourth proportional to 653.24, 973.46 and 635.42 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 973.46 = 635.42 : x
  2. Step 2: Convert to fraction form
    653.24/973.46 = 635.42/x
  3. Step 3: Cross multiply
    653.24x = 973.46 × 635.42
  4. Step 4: Simplify right side
    653.24x = 618,547.91
  5. Step 5: Solve for x
    x = 618,547.91/653.24
  6. Step 6: Final answer
    x = 946.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.