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Finding the Fourth Proportional to 560.49, 835.10 and 529.05

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Solution

The fourth proportional to 560.49, 835.10 and 529.05 is: 788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.49 : 835.10 = 529.05 : x
  2. Step 2: Convert to fraction form
    560.49/835.10 = 529.05/x
  3. Step 3: Cross multiply
    560.49x = 835.10 × 529.05
  4. Step 4: Simplify right side
    560.49x = 441,807.01
  5. Step 5: Solve for x
    x = 441,807.01/560.49
  6. Step 6: Final answer
    x = 788.26

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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.