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Finding the Fourth Proportional to 525.51, 783.90 and 467.19

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Solution

The fourth proportional to 525.51, 783.90 and 467.19 is: 696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 783.90 = 467.19 : x
  2. Step 2: Convert to fraction form
    525.51/783.90 = 467.19/x
  3. Step 3: Cross multiply
    525.51x = 783.90 × 467.19
  4. Step 4: Simplify right side
    525.51x = 366,230.24
  5. Step 5: Solve for x
    x = 366,230.24/525.51
  6. Step 6: Final answer
    x = 696.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.