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Finding the Fourth Proportional to 975.69, 1,461.72 and 488.17

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Solution

The fourth proportional to 975.69, 1,461.72 and 488.17 is: 731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.69 : 1,461.72 = 488.17 : x
  2. Step 2: Convert to fraction form
    975.69/1,461.72 = 488.17/x
  3. Step 3: Cross multiply
    975.69x = 1,461.72 × 488.17
  4. Step 4: Simplify right side
    975.69x = 713,565.41
  5. Step 5: Solve for x
    x = 713,565.41/975.69
  6. Step 6: Final answer
    x = 731.34

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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.