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Finding the Fourth Proportional to 607.10, 910.49 and 260.49

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Solution

The fourth proportional to 607.10, 910.49 and 260.49 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.10 : 910.49 = 260.49 : x
  2. Step 2: Convert to fraction form
    607.10/910.49 = 260.49/x
  3. Step 3: Cross multiply
    607.10x = 910.49 × 260.49
  4. Step 4: Simplify right side
    607.10x = 237,168.34
  5. Step 5: Solve for x
    x = 237,168.34/607.10
  6. Step 6: Final answer
    x = 390.66

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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.