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Finding the Fourth Proportional to 656.65, 980.98 and 470.08

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Solution

The fourth proportional to 656.65, 980.98 and 470.08 is: 702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.65 : 980.98 = 470.08 : x
  2. Step 2: Convert to fraction form
    656.65/980.98 = 470.08/x
  3. Step 3: Cross multiply
    656.65x = 980.98 × 470.08
  4. Step 4: Simplify right side
    656.65x = 461,134.17
  5. Step 5: Solve for x
    x = 461,134.17/656.65
  6. Step 6: Final answer
    x = 702.25

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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.