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Finding the Fourth Proportional to 563.38, 841.80 and 430.87

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Solution

The fourth proportional to 563.38, 841.80 and 430.87 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.38 : 841.80 = 430.87 : x
  2. Step 2: Convert to fraction form
    563.38/841.80 = 430.87/x
  3. Step 3: Cross multiply
    563.38x = 841.80 × 430.87
  4. Step 4: Simplify right side
    563.38x = 362,706.37
  5. Step 5: Solve for x
    x = 362,706.37/563.38
  6. Step 6: Final answer
    x = 643.80

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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.