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Finding the Fourth Proportional to 560.32, 840.58 and 355.14

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Solution

The fourth proportional to 560.32, 840.58 and 355.14 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 840.58 = 355.14 : x
  2. Step 2: Convert to fraction form
    560.32/840.58 = 355.14/x
  3. Step 3: Cross multiply
    560.32x = 840.58 × 355.14
  4. Step 4: Simplify right side
    560.32x = 298,523.58
  5. Step 5: Solve for x
    x = 298,523.58/560.32
  6. Step 6: Final answer
    x = 532.77

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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.