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Finding the Fourth Proportional to 560.64, 840.06 and 405.72

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Solution

The fourth proportional to 560.64, 840.06 and 405.72 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 840.06 = 405.72 : x
  2. Step 2: Convert to fraction form
    560.64/840.06 = 405.72/x
  3. Step 3: Cross multiply
    560.64x = 840.06 × 405.72
  4. Step 4: Simplify right side
    560.64x = 340,829.14
  5. Step 5: Solve for x
    x = 340,829.14/560.64
  6. Step 6: Final answer
    x = 607.93

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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.