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Finding the Fourth Proportional to 647.59, 972.02 and 604.75

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Solution

The fourth proportional to 647.59, 972.02 and 604.75 is: 907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.59 : 972.02 = 604.75 : x
  2. Step 2: Convert to fraction form
    647.59/972.02 = 604.75/x
  3. Step 3: Cross multiply
    647.59x = 972.02 × 604.75
  4. Step 4: Simplify right side
    647.59x = 587,829.10
  5. Step 5: Solve for x
    x = 587,829.10/647.59
  6. Step 6: Final answer
    x = 907.72

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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.