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Finding the Fourth Proportional to 650.55, 975.77 and 260.45

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Solution

The fourth proportional to 650.55, 975.77 and 260.45 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.55 : 975.77 = 260.45 : x
  2. Step 2: Convert to fraction form
    650.55/975.77 = 260.45/x
  3. Step 3: Cross multiply
    650.55x = 975.77 × 260.45
  4. Step 4: Simplify right side
    650.55x = 254,133.12
  5. Step 5: Solve for x
    x = 254,133.12/650.55
  6. Step 6: Final answer
    x = 390.64

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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.