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Finding the Fourth Proportional to 975.42, 1,454.70 and 830.07

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Solution

The fourth proportional to 975.42, 1,454.70 and 830.07 is: 1,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,454.70 = 830.07 : x
  2. Step 2: Convert to fraction form
    975.42/1,454.70 = 830.07/x
  3. Step 3: Cross multiply
    975.42x = 1,454.70 × 830.07
  4. Step 4: Simplify right side
    975.42x = 1,207,502.83
  5. Step 5: Solve for x
    x = 1,207,502.83/975.42
  6. Step 6: Final answer
    x = 1,237.93

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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.