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Finding the Fourth Proportional to 832.61, 1,247.54 and 442.06

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Solution

The fourth proportional to 832.61, 1,247.54 and 442.06 is: 662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.61 : 1,247.54 = 442.06 : x
  2. Step 2: Convert to fraction form
    832.61/1,247.54 = 442.06/x
  3. Step 3: Cross multiply
    832.61x = 1,247.54 × 442.06
  4. Step 4: Simplify right side
    832.61x = 551,482.20
  5. Step 5: Solve for x
    x = 551,482.20/832.61
  6. Step 6: Final answer
    x = 662.35

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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.