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Finding the Fourth Proportional to 945.47, 1,417.84 and 287.15

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Solution

The fourth proportional to 945.47, 1,417.84 and 287.15 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,417.84 = 287.15 : x
  2. Step 2: Convert to fraction form
    945.47/1,417.84 = 287.15/x
  3. Step 3: Cross multiply
    945.47x = 1,417.84 × 287.15
  4. Step 4: Simplify right side
    945.47x = 407,124.95
  5. Step 5: Solve for x
    x = 407,124.95/945.47
  6. Step 6: Final answer
    x = 430.60

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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.