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Finding the Fourth Proportional to 1,307.58, 1,806.74 and 1,030.02

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Solution

The fourth proportional to 1,307.58, 1,806.74 and 1,030.02 is: 1,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.58 : 1,806.74 = 1,030.02 : x
  2. Step 2: Convert to fraction form
    1,307.58/1,806.74 = 1,030.02/x
  3. Step 3: Cross multiply
    1,307.58x = 1,806.74 × 1,030.02
  4. Step 4: Simplify right side
    1,307.58x = 1,860,978.33
  5. Step 5: Solve for x
    x = 1,860,978.33/1,307.58
  6. Step 6: Final answer
    x = 1,423.22

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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.