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Finding the Fourth Proportional to 714.48, 985.54 and 490.31

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Solution

The fourth proportional to 714.48, 985.54 and 490.31 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 985.54 = 490.31 : x
  2. Step 2: Convert to fraction form
    714.48/985.54 = 490.31/x
  3. Step 3: Cross multiply
    714.48x = 985.54 × 490.31
  4. Step 4: Simplify right side
    714.48x = 483,218.89
  5. Step 5: Solve for x
    x = 483,218.89/714.48
  6. Step 6: Final answer
    x = 676.32

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Half scale
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Double scale
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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.