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Finding the Fourth Proportional to 973.98, 1,461.06 and 324.77

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Solution

The fourth proportional to 973.98, 1,461.06 and 324.77 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.98 : 1,461.06 = 324.77 : x
  2. Step 2: Convert to fraction form
    973.98/1,461.06 = 324.77/x
  3. Step 3: Cross multiply
    973.98x = 1,461.06 × 324.77
  4. Step 4: Simplify right side
    973.98x = 474,501.15
  5. Step 5: Solve for x
    x = 474,501.15/973.98
  6. Step 6: Final answer
    x = 487.18

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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.