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Finding the Fourth Proportional to 710.90, 1,065.64 and 248.32

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Solution

The fourth proportional to 710.90, 1,065.64 and 248.32 is: 372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.90 : 1,065.64 = 248.32 : x
  2. Step 2: Convert to fraction form
    710.90/1,065.64 = 248.32/x
  3. Step 3: Cross multiply
    710.90x = 1,065.64 × 248.32
  4. Step 4: Simplify right side
    710.90x = 264,619.72
  5. Step 5: Solve for x
    x = 264,619.72/710.90
  6. Step 6: Final answer
    x = 372.23

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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.