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Finding the Fourth Proportional to 973.64, 1,343.58 and 531.52

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Solution

The fourth proportional to 973.64, 1,343.58 and 531.52 is: 733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.64 : 1,343.58 = 531.52 : x
  2. Step 2: Convert to fraction form
    973.64/1,343.58 = 531.52/x
  3. Step 3: Cross multiply
    973.64x = 1,343.58 × 531.52
  4. Step 4: Simplify right side
    973.64x = 714,139.64
  5. Step 5: Solve for x
    x = 714,139.64/973.64
  6. Step 6: Final answer
    x = 733.47

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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.