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Finding the Fourth Proportional to 848.53, 1,271.63 and 478.52

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Solution

The fourth proportional to 848.53, 1,271.63 and 478.52 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.53 : 1,271.63 = 478.52 : x
  2. Step 2: Convert to fraction form
    848.53/1,271.63 = 478.52/x
  3. Step 3: Cross multiply
    848.53x = 1,271.63 × 478.52
  4. Step 4: Simplify right side
    848.53x = 608,500.39
  5. Step 5: Solve for x
    x = 608,500.39/848.53
  6. Step 6: Final answer
    x = 717.12

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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.