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Finding the Fourth Proportional to 469.37, 700.70 and 407.88

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Solution

The fourth proportional to 469.37, 700.70 and 407.88 is: 608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.37 : 700.70 = 407.88 : x
  2. Step 2: Convert to fraction form
    469.37/700.70 = 407.88/x
  3. Step 3: Cross multiply
    469.37x = 700.70 × 407.88
  4. Step 4: Simplify right side
    469.37x = 285,798.01
  5. Step 5: Solve for x
    x = 285,798.01/469.37
  6. Step 6: Final answer
    x = 608.90

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