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Finding the Fourth Proportional to 1,045.68, 1,442.95 and 573.55

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Solution

The fourth proportional to 1,045.68, 1,442.95 and 573.55 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.68 : 1,442.95 = 573.55 : x
  2. Step 2: Convert to fraction form
    1,045.68/1,442.95 = 573.55/x
  3. Step 3: Cross multiply
    1,045.68x = 1,442.95 × 573.55
  4. Step 4: Simplify right side
    1,045.68x = 827,598.93
  5. Step 5: Solve for x
    x = 827,598.93/1,045.68
  6. Step 6: Final answer
    x = 791.45

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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.