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Finding the Fourth Proportional to 697.58, 962.53 and 448.84

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Solution

The fourth proportional to 697.58, 962.53 and 448.84 is: 619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 962.53 = 448.84 : x
  2. Step 2: Convert to fraction form
    697.58/962.53 = 448.84/x
  3. Step 3: Cross multiply
    697.58x = 962.53 × 448.84
  4. Step 4: Simplify right side
    697.58x = 432,018.44
  5. Step 5: Solve for x
    x = 432,018.44/697.58
  6. Step 6: Final answer
    x = 619.31

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1.5x scale

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.