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Finding the Fourth Proportional to 525.80, 783.46 and 468.34

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Solution

The fourth proportional to 525.80, 783.46 and 468.34 is: 697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 783.46 = 468.34 : x
  2. Step 2: Convert to fraction form
    525.80/783.46 = 468.34/x
  3. Step 3: Cross multiply
    525.80x = 783.46 × 468.34
  4. Step 4: Simplify right side
    525.80x = 366,925.66
  5. Step 5: Solve for x
    x = 366,925.66/525.80
  6. Step 6: Final answer
    x = 697.84

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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.