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Finding the Fourth Proportional to 560.06, 835.24 and 478.30

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Solution

The fourth proportional to 560.06, 835.24 and 478.30 is: 713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.06 : 835.24 = 478.30 : x
  2. Step 2: Convert to fraction form
    560.06/835.24 = 478.30/x
  3. Step 3: Cross multiply
    560.06x = 835.24 × 478.30
  4. Step 4: Simplify right side
    560.06x = 399,495.29
  5. Step 5: Solve for x
    x = 399,495.29/560.06
  6. Step 6: Final answer
    x = 713.31

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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.