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Finding the Fourth Proportional to 1,045.41, 1,442.48 and 603.15

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Solution

The fourth proportional to 1,045.41, 1,442.48 and 603.15 is: 832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.41 : 1,442.48 = 603.15 : x
  2. Step 2: Convert to fraction form
    1,045.41/1,442.48 = 603.15/x
  3. Step 3: Cross multiply
    1,045.41x = 1,442.48 × 603.15
  4. Step 4: Simplify right side
    1,045.41x = 870,028.80
  5. Step 5: Solve for x
    x = 870,028.80/1,045.41
  6. Step 6: Final answer
    x = 832.24

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1.5x scale

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.