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Finding the Fourth Proportional to 560.17, 840.08 and 387.95

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Solution

The fourth proportional to 560.17, 840.08 and 387.95 is: 581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.17 : 840.08 = 387.95 : x
  2. Step 2: Convert to fraction form
    560.17/840.08 = 387.95/x
  3. Step 3: Cross multiply
    560.17x = 840.08 × 387.95
  4. Step 4: Simplify right side
    560.17x = 325,904.84
  5. Step 5: Solve for x
    x = 325,904.84/560.17
  6. Step 6: Final answer
    x = 581.80

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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.