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Finding the Fourth Proportional to 945, 1,417.74 and 360.24

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Solution

The fourth proportional to 945, 1,417.74 and 360.24 is: 540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,417.74 = 360.24 : x
  2. Step 2: Convert to fraction form
    945/1,417.74 = 360.24/x
  3. Step 3: Cross multiply
    945x = 1,417.74 × 360.24
  4. Step 4: Simplify right side
    945x = 510,726.66
  5. Step 5: Solve for x
    x = 510,726.66/945
  6. Step 6: Final answer
    x = 540.45

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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.