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Finding the Fourth Proportional to 894.88, 1,341.06 and 407.08

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Solution

The fourth proportional to 894.88, 1,341.06 and 407.08 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.88 : 1,341.06 = 407.08 : x
  2. Step 2: Convert to fraction form
    894.88/1,341.06 = 407.08/x
  3. Step 3: Cross multiply
    894.88x = 1,341.06 × 407.08
  4. Step 4: Simplify right side
    894.88x = 545,918.70
  5. Step 5: Solve for x
    x = 545,918.70/894.88
  6. Step 6: Final answer
    x = 610.05

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1.5x scale

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.