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Finding the Fourth Proportional to 945, 1,416.54 and 397.50

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Solution

The fourth proportional to 945, 1,416.54 and 397.50 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,416.54 = 397.50 : x
  2. Step 2: Convert to fraction form
    945/1,416.54 = 397.50/x
  3. Step 3: Cross multiply
    945x = 1,416.54 × 397.50
  4. Step 4: Simplify right side
    945x = 563,074.65
  5. Step 5: Solve for x
    x = 563,074.65/945
  6. Step 6: Final answer
    x = 595.85

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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.