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Finding the Fourth Proportional to 945.12, 1,417.68 and 287.00

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Solution

The fourth proportional to 945.12, 1,417.68 and 287.00 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.12 : 1,417.68 = 287.00 : x
  2. Step 2: Convert to fraction form
    945.12/1,417.68 = 287.00/x
  3. Step 3: Cross multiply
    945.12x = 1,417.68 × 287.00
  4. Step 4: Simplify right side
    945.12x = 406,867.07
  5. Step 5: Solve for x
    x = 406,867.07/945.12
  6. Step 6: Final answer
    x = 430.49

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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.