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Finding the Fourth Proportional to 653.01, 974.45 and 594.80

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Solution

The fourth proportional to 653.01, 974.45 and 594.80 is: 887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.01 : 974.45 = 594.80 : x
  2. Step 2: Convert to fraction form
    653.01/974.45 = 594.80/x
  3. Step 3: Cross multiply
    653.01x = 974.45 × 594.80
  4. Step 4: Simplify right side
    653.01x = 579,595.01
  5. Step 5: Solve for x
    x = 579,595.01/653.01
  6. Step 6: Final answer
    x = 887.57

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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.