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Finding the Fourth Proportional to 560.89, 841.34 and 464.50

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Solution

The fourth proportional to 560.89, 841.34 and 464.50 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 841.34 = 464.50 : x
  2. Step 2: Convert to fraction form
    560.89/841.34 = 464.50/x
  3. Step 3: Cross multiply
    560.89x = 841.34 × 464.50
  4. Step 4: Simplify right side
    560.89x = 390,802.43
  5. Step 5: Solve for x
    x = 390,802.43/560.89
  6. Step 6: Final answer
    x = 696.75

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Similar ratio
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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.