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Finding the Fourth Proportional to 977.50, 1,348.95 and 894.88

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Solution

The fourth proportional to 977.50, 1,348.95 and 894.88 is: 1,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.50 : 1,348.95 = 894.88 : x
  2. Step 2: Convert to fraction form
    977.50/1,348.95 = 894.88/x
  3. Step 3: Cross multiply
    977.50x = 1,348.95 × 894.88
  4. Step 4: Simplify right side
    977.50x = 1,207,148.38
  5. Step 5: Solve for x
    x = 1,207,148.38/977.50
  6. Step 6: Final answer
    x = 1,234.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.