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Finding the Fourth Proportional to 504.16, 697.71 and 492.01

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Solution

The fourth proportional to 504.16, 697.71 and 492.01 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.16 : 697.71 = 492.01 : x
  2. Step 2: Convert to fraction form
    504.16/697.71 = 492.01/x
  3. Step 3: Cross multiply
    504.16x = 697.71 × 492.01
  4. Step 4: Simplify right side
    504.16x = 343,280.30
  5. Step 5: Solve for x
    x = 343,280.30/504.16
  6. Step 6: Final answer
    x = 680.90

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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.