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Finding the Fourth Proportional to 975.66, 1,346.40 and 533.55

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Solution

The fourth proportional to 975.66, 1,346.40 and 533.55 is: 736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,346.40 = 533.55 : x
  2. Step 2: Convert to fraction form
    975.66/1,346.40 = 533.55/x
  3. Step 3: Cross multiply
    975.66x = 1,346.40 × 533.55
  4. Step 4: Simplify right side
    975.66x = 718,371.72
  5. Step 5: Solve for x
    x = 718,371.72/975.66
  6. Step 6: Final answer
    x = 736.29

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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.