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Finding the Fourth Proportional to 975.56, 1,461.50 and 488.95

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Solution

The fourth proportional to 975.56, 1,461.50 and 488.95 is: 732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.56 : 1,461.50 = 488.95 : x
  2. Step 2: Convert to fraction form
    975.56/1,461.50 = 488.95/x
  3. Step 3: Cross multiply
    975.56x = 1,461.50 × 488.95
  4. Step 4: Simplify right side
    975.56x = 714,594.33
  5. Step 5: Solve for x
    x = 714,594.33/975.56
  6. Step 6: Final answer
    x = 732.50

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Double scale
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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.