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Finding the Fourth Proportional to 975.09, 1,345.63 and 532.96

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Solution

The fourth proportional to 975.09, 1,345.63 and 532.96 is: 735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 1,345.63 = 532.96 : x
  2. Step 2: Convert to fraction form
    975.09/1,345.63 = 532.96/x
  3. Step 3: Cross multiply
    975.09x = 1,345.63 × 532.96
  4. Step 4: Simplify right side
    975.09x = 717,164.30
  5. Step 5: Solve for x
    x = 717,164.30/975.09
  6. Step 6: Final answer
    x = 735.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.