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Finding the Fourth Proportional to 964.06, 1,445.72 and 347.61

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Solution

The fourth proportional to 964.06, 1,445.72 and 347.61 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.06 : 1,445.72 = 347.61 : x
  2. Step 2: Convert to fraction form
    964.06/1,445.72 = 347.61/x
  3. Step 3: Cross multiply
    964.06x = 1,445.72 × 347.61
  4. Step 4: Simplify right side
    964.06x = 502,547.60
  5. Step 5: Solve for x
    x = 502,547.60/964.06
  6. Step 6: Final answer
    x = 521.28

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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.