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Finding the Fourth Proportional to 678.47, 942.57 and 671.81

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Solution

The fourth proportional to 678.47, 942.57 and 671.81 is: 933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 942.57 = 671.81 : x
  2. Step 2: Convert to fraction form
    678.47/942.57 = 671.81/x
  3. Step 3: Cross multiply
    678.47x = 942.57 × 671.81
  4. Step 4: Simplify right side
    678.47x = 633,223.24
  5. Step 5: Solve for x
    x = 633,223.24/678.47
  6. Step 6: Final answer
    x = 933.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.