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Finding the Fourth Proportional to 860.46, 1,290.30 and 340.08

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Solution

The fourth proportional to 860.46, 1,290.30 and 340.08 is: 509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.46 : 1,290.30 = 340.08 : x
  2. Step 2: Convert to fraction form
    860.46/1,290.30 = 340.08/x
  3. Step 3: Cross multiply
    860.46x = 1,290.30 × 340.08
  4. Step 4: Simplify right side
    860.46x = 438,805.22
  5. Step 5: Solve for x
    x = 438,805.22/860.46
  6. Step 6: Final answer
    x = 509.97

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Double scale
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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.