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Finding the Fourth Proportional to 846.95, 1,270.53 and 384.71

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Solution

The fourth proportional to 846.95, 1,270.53 and 384.71 is: 577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.95 : 1,270.53 = 384.71 : x
  2. Step 2: Convert to fraction form
    846.95/1,270.53 = 384.71/x
  3. Step 3: Cross multiply
    846.95x = 1,270.53 × 384.71
  4. Step 4: Simplify right side
    846.95x = 488,779.24
  5. Step 5: Solve for x
    x = 488,779.24/846.95
  6. Step 6: Final answer
    x = 577.11

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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.