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Finding the Fourth Proportional to 653.40, 977.77 and 567.75

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Solution

The fourth proportional to 653.40, 977.77 and 567.75 is: 849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 977.77 = 567.75 : x
  2. Step 2: Convert to fraction form
    653.40/977.77 = 567.75/x
  3. Step 3: Cross multiply
    653.40x = 977.77 × 567.75
  4. Step 4: Simplify right side
    653.40x = 555,128.92
  5. Step 5: Solve for x
    x = 555,128.92/653.40
  6. Step 6: Final answer
    x = 849.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.