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Finding the Fourth Proportional to 560.01, 840.69 and 457.95

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Solution

The fourth proportional to 560.01, 840.69 and 457.95 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.01 : 840.69 = 457.95 : x
  2. Step 2: Convert to fraction form
    560.01/840.69 = 457.95/x
  3. Step 3: Cross multiply
    560.01x = 840.69 × 457.95
  4. Step 4: Simplify right side
    560.01x = 384,993.99
  5. Step 5: Solve for x
    x = 384,993.99/560.01
  6. Step 6: Final answer
    x = 687.48

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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.