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Finding the Fourth Proportional to 469.18, 700.52 and 440.02

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Solution

The fourth proportional to 469.18, 700.52 and 440.02 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.18 : 700.52 = 440.02 : x
  2. Step 2: Convert to fraction form
    469.18/700.52 = 440.02/x
  3. Step 3: Cross multiply
    469.18x = 700.52 × 440.02
  4. Step 4: Simplify right side
    469.18x = 308,242.81
  5. Step 5: Solve for x
    x = 308,242.81/469.18
  6. Step 6: Final answer
    x = 656.98

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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.