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Finding the Fourth Proportional to 1,538.66, 2,307.19 and 551.10

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Solution

The fourth proportional to 1,538.66, 2,307.19 and 551.10 is: 826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.66 : 2,307.19 = 551.10 : x
  2. Step 2: Convert to fraction form
    1,538.66/2,307.19 = 551.10/x
  3. Step 3: Cross multiply
    1,538.66x = 2,307.19 × 551.10
  4. Step 4: Simplify right side
    1,538.66x = 1,271,492.41
  5. Step 5: Solve for x
    x = 1,271,492.41/1,538.66
  6. Step 6: Final answer
    x = 826.36

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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.