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Finding the Fourth Proportional to 653, 898.81 and 565.52

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Solution

The fourth proportional to 653, 898.81 and 565.52 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 898.81 = 565.52 : x
  2. Step 2: Convert to fraction form
    653/898.81 = 565.52/x
  3. Step 3: Cross multiply
    653x = 898.81 × 565.52
  4. Step 4: Simplify right side
    653x = 508,295.03
  5. Step 5: Solve for x
    x = 508,295.03/653
  6. Step 6: Final answer
    x = 778.40

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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.