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Finding the Fourth Proportional to 848.03, 1,271.67 and 384.93

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Solution

The fourth proportional to 848.03, 1,271.67 and 384.93 is: 577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,271.67 = 384.93 : x
  2. Step 2: Convert to fraction form
    848.03/1,271.67 = 384.93/x
  3. Step 3: Cross multiply
    848.03x = 1,271.67 × 384.93
  4. Step 4: Simplify right side
    848.03x = 489,503.93
  5. Step 5: Solve for x
    x = 489,503.93/848.03
  6. Step 6: Final answer
    x = 577.23

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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.