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Finding the Fourth Proportional to 962.09, 1,442.68 and 345.55

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Solution

The fourth proportional to 962.09, 1,442.68 and 345.55 is: 518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.09 : 1,442.68 = 345.55 : x
  2. Step 2: Convert to fraction form
    962.09/1,442.68 = 345.55/x
  3. Step 3: Cross multiply
    962.09x = 1,442.68 × 345.55
  4. Step 4: Simplify right side
    962.09x = 498,518.07
  5. Step 5: Solve for x
    x = 498,518.07/962.09
  6. Step 6: Final answer
    x = 518.16

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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.