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Finding the Fourth Proportional to 561.12, 835.68 and 528

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Solution

The fourth proportional to 561.12, 835.68 and 528 is: 786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 835.68 = 528 : x
  2. Step 2: Convert to fraction form
    561.12/835.68 = 528/x
  3. Step 3: Cross multiply
    561.12x = 835.68 × 528
  4. Step 4: Simplify right side
    561.12x = 441,239.04
  5. Step 5: Solve for x
    x = 441,239.04/561.12
  6. Step 6: Final answer
    x = 786.35

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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.