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Finding the Fourth Proportional to 703.42, 1,054.91 and 507.80

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Solution

The fourth proportional to 703.42, 1,054.91 and 507.80 is: 761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.42 : 1,054.91 = 507.80 : x
  2. Step 2: Convert to fraction form
    703.42/1,054.91 = 507.80/x
  3. Step 3: Cross multiply
    703.42x = 1,054.91 × 507.80
  4. Step 4: Simplify right side
    703.42x = 535,683.40
  5. Step 5: Solve for x
    x = 535,683.40/703.42
  6. Step 6: Final answer
    x = 761.54

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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.