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Finding the Fourth Proportional to 647.58, 969.55 and 602.02

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Solution

The fourth proportional to 647.58, 969.55 and 602.02 is: 901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.58 : 969.55 = 602.02 : x
  2. Step 2: Convert to fraction form
    647.58/969.55 = 602.02/x
  3. Step 3: Cross multiply
    647.58x = 969.55 × 602.02
  4. Step 4: Simplify right side
    647.58x = 583,688.49
  5. Step 5: Solve for x
    x = 583,688.49/647.58
  6. Step 6: Final answer
    x = 901.34

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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.