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Finding the Fourth Proportional to 1,547.55, 2,324.88 and 1,000.80

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Solution

The fourth proportional to 1,547.55, 2,324.88 and 1,000.80 is: 1,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.55 : 2,324.88 = 1,000.80 : x
  2. Step 2: Convert to fraction form
    1,547.55/2,324.88 = 1,000.80/x
  3. Step 3: Cross multiply
    1,547.55x = 2,324.88 × 1,000.80
  4. Step 4: Simplify right side
    1,547.55x = 2,326,739.90
  5. Step 5: Solve for x
    x = 2,326,739.90/1,547.55
  6. Step 6: Final answer
    x = 1,503.50

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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.