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Finding the Fourth Proportional to 714.06, 985.23 and 465.30

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Solution

The fourth proportional to 714.06, 985.23 and 465.30 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 985.23 = 465.30 : x
  2. Step 2: Convert to fraction form
    714.06/985.23 = 465.30/x
  3. Step 3: Cross multiply
    714.06x = 985.23 × 465.30
  4. Step 4: Simplify right side
    714.06x = 458,427.52
  5. Step 5: Solve for x
    x = 458,427.52/714.06
  6. Step 6: Final answer
    x = 642.00

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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.