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Finding the Fourth Proportional to 560.53, 837.70 and 414.59

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Solution

The fourth proportional to 560.53, 837.70 and 414.59 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.53 : 837.70 = 414.59 : x
  2. Step 2: Convert to fraction form
    560.53/837.70 = 414.59/x
  3. Step 3: Cross multiply
    560.53x = 837.70 × 414.59
  4. Step 4: Simplify right side
    560.53x = 347,303.08
  5. Step 5: Solve for x
    x = 347,303.08/560.53
  6. Step 6: Final answer
    x = 619.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.