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Finding the Fourth Proportional to 1,045.95, 1,556.60 and 1,007.07

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Solution

The fourth proportional to 1,045.95, 1,556.60 and 1,007.07 is: 1,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,556.60 = 1,007.07 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,556.60 = 1,007.07/x
  3. Step 3: Cross multiply
    1,045.95x = 1,556.60 × 1,007.07
  4. Step 4: Simplify right side
    1,045.95x = 1,567,605.16
  5. Step 5: Solve for x
    x = 1,567,605.16/1,045.95
  6. Step 6: Final answer
    x = 1,498.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.