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Finding the Fourth Proportional to 714.74, 985.47 and 465.96

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Solution

The fourth proportional to 714.74, 985.47 and 465.96 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.74 : 985.47 = 465.96 : x
  2. Step 2: Convert to fraction form
    714.74/985.47 = 465.96/x
  3. Step 3: Cross multiply
    714.74x = 985.47 × 465.96
  4. Step 4: Simplify right side
    714.74x = 459,189.60
  5. Step 5: Solve for x
    x = 459,189.60/714.74
  6. Step 6: Final answer
    x = 642.46

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1.5x scale

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.