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Finding the Fourth Proportional to 701.84, 968.53 and 403.10

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Solution

The fourth proportional to 701.84, 968.53 and 403.10 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.84 : 968.53 = 403.10 : x
  2. Step 2: Convert to fraction form
    701.84/968.53 = 403.10/x
  3. Step 3: Cross multiply
    701.84x = 968.53 × 403.10
  4. Step 4: Simplify right side
    701.84x = 390,416.24
  5. Step 5: Solve for x
    x = 390,416.24/701.84
  6. Step 6: Final answer
    x = 556.28

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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.