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Finding the Fourth Proportional to 931.42, 1,395.33 and 497.98

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Solution

The fourth proportional to 931.42, 1,395.33 and 497.98 is: 746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.42 : 1,395.33 = 497.98 : x
  2. Step 2: Convert to fraction form
    931.42/1,395.33 = 497.98/x
  3. Step 3: Cross multiply
    931.42x = 1,395.33 × 497.98
  4. Step 4: Simplify right side
    931.42x = 694,846.43
  5. Step 5: Solve for x
    x = 694,846.43/931.42
  6. Step 6: Final answer
    x = 746.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.