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Finding the Fourth Proportional to 894.12, 1,341.06 and 431.50

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Solution

The fourth proportional to 894.12, 1,341.06 and 431.50 is: 647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,341.06 = 431.50 : x
  2. Step 2: Convert to fraction form
    894.12/1,341.06 = 431.50/x
  3. Step 3: Cross multiply
    894.12x = 1,341.06 × 431.50
  4. Step 4: Simplify right side
    894.12x = 578,667.39
  5. Step 5: Solve for x
    x = 578,667.39/894.12
  6. Step 6: Final answer
    x = 647.19

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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.