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Finding the Fourth Proportional to 1,483.22, 2,225.10 and 509.10

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Solution

The fourth proportional to 1,483.22, 2,225.10 and 509.10 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.22 : 2,225.10 = 509.10 : x
  2. Step 2: Convert to fraction form
    1,483.22/2,225.10 = 509.10/x
  3. Step 3: Cross multiply
    1,483.22x = 2,225.10 × 509.10
  4. Step 4: Simplify right side
    1,483.22x = 1,132,798.41
  5. Step 5: Solve for x
    x = 1,132,798.41/1,483.22
  6. Step 6: Final answer
    x = 763.74

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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.