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Finding the Fourth Proportional to 602.25, 903.74 and 260.25

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Solution

The fourth proportional to 602.25, 903.74 and 260.25 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 903.74 = 260.25 : x
  2. Step 2: Convert to fraction form
    602.25/903.74 = 260.25/x
  3. Step 3: Cross multiply
    602.25x = 903.74 × 260.25
  4. Step 4: Simplify right side
    602.25x = 235,197.03
  5. Step 5: Solve for x
    x = 235,197.03/602.25
  6. Step 6: Final answer
    x = 390.53

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1.5x scale

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.