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Finding the Fourth Proportional to 560.26, 841.00 and 424.79

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Solution

The fourth proportional to 560.26, 841.00 and 424.79 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.26 : 841.00 = 424.79 : x
  2. Step 2: Convert to fraction form
    560.26/841.00 = 424.79/x
  3. Step 3: Cross multiply
    560.26x = 841.00 × 424.79
  4. Step 4: Simplify right side
    560.26x = 357,242.06
  5. Step 5: Solve for x
    x = 357,242.06/560.26
  6. Step 6: Final answer
    x = 637.64

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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.