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Finding the Fourth Proportional to 653.03, 978 and 567.07

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Solution

The fourth proportional to 653.03, 978 and 567.07 is: 849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.03 : 978 = 567.07 : x
  2. Step 2: Convert to fraction form
    653.03/978 = 567.07/x
  3. Step 3: Cross multiply
    653.03x = 978 × 567.07
  4. Step 4: Simplify right side
    653.03x = 554,594.46
  5. Step 5: Solve for x
    x = 554,594.46/653.03
  6. Step 6: Final answer
    x = 849.26

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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.