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Finding the Fourth Proportional to 973.72, 1,341.58 and 815.80

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Solution

The fourth proportional to 973.72, 1,341.58 and 815.80 is: 1,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.72 : 1,341.58 = 815.80 : x
  2. Step 2: Convert to fraction form
    973.72/1,341.58 = 815.80/x
  3. Step 3: Cross multiply
    973.72x = 1,341.58 × 815.80
  4. Step 4: Simplify right side
    973.72x = 1,094,460.96
  5. Step 5: Solve for x
    x = 1,094,460.96/973.72
  6. Step 6: Final answer
    x = 1,124.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.