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Finding the Fourth Proportional to 975.08, 1,455.67 and 940.91

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Solution

The fourth proportional to 975.08, 1,455.67 and 940.91 is: 1,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.08 : 1,455.67 = 940.91 : x
  2. Step 2: Convert to fraction form
    975.08/1,455.67 = 940.91/x
  3. Step 3: Cross multiply
    975.08x = 1,455.67 × 940.91
  4. Step 4: Simplify right side
    975.08x = 1,369,654.46
  5. Step 5: Solve for x
    x = 1,369,654.46/975.08
  6. Step 6: Final answer
    x = 1,404.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.