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Finding the Fourth Proportional to 904.65, 1,355.40 and 416.70

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Solution

The fourth proportional to 904.65, 1,355.40 and 416.70 is: 624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.65 : 1,355.40 = 416.70 : x
  2. Step 2: Convert to fraction form
    904.65/1,355.40 = 416.70/x
  3. Step 3: Cross multiply
    904.65x = 1,355.40 × 416.70
  4. Step 4: Simplify right side
    904.65x = 564,795.18
  5. Step 5: Solve for x
    x = 564,795.18/904.65
  6. Step 6: Final answer
    x = 624.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.