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Finding the Fourth Proportional to 848.40, 1,271.76 and 416.16

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Solution

The fourth proportional to 848.40, 1,271.76 and 416.16 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.40 : 1,271.76 = 416.16 : x
  2. Step 2: Convert to fraction form
    848.40/1,271.76 = 416.16/x
  3. Step 3: Cross multiply
    848.40x = 1,271.76 × 416.16
  4. Step 4: Simplify right side
    848.40x = 529,255.64
  5. Step 5: Solve for x
    x = 529,255.64/848.40
  6. Step 6: Final answer
    x = 623.83

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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.