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Finding the Fourth Proportional to 653.95, 901.38 and 511.90

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Solution

The fourth proportional to 653.95, 901.38 and 511.90 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.95 : 901.38 = 511.90 : x
  2. Step 2: Convert to fraction form
    653.95/901.38 = 511.90/x
  3. Step 3: Cross multiply
    653.95x = 901.38 × 511.90
  4. Step 4: Simplify right side
    653.95x = 461,416.42
  5. Step 5: Solve for x
    x = 461,416.42/653.95
  6. Step 6: Final answer
    x = 705.58

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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.