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Finding the Fourth Proportional to 673.93, 931.31 and 507.86

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Solution

The fourth proportional to 673.93, 931.31 and 507.86 is: 701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.93 : 931.31 = 507.86 : x
  2. Step 2: Convert to fraction form
    673.93/931.31 = 507.86/x
  3. Step 3: Cross multiply
    673.93x = 931.31 × 507.86
  4. Step 4: Simplify right side
    673.93x = 472,975.10
  5. Step 5: Solve for x
    x = 472,975.10/673.93
  6. Step 6: Final answer
    x = 701.82

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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.