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Finding the Fourth Proportional to 962.48, 1,435.93 and 883.20

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Solution

The fourth proportional to 962.48, 1,435.93 and 883.20 is: 1,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.48 : 1,435.93 = 883.20 : x
  2. Step 2: Convert to fraction form
    962.48/1,435.93 = 883.20/x
  3. Step 3: Cross multiply
    962.48x = 1,435.93 × 883.20
  4. Step 4: Simplify right side
    962.48x = 1,268,216.55
  5. Step 5: Solve for x
    x = 1,268,216.55/962.48
  6. Step 6: Final answer
    x = 1,317.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.