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Finding the Fourth Proportional to 560, 841.90 and 514.46

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Solution

The fourth proportional to 560, 841.90 and 514.46 is: 773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 841.90 = 514.46 : x
  2. Step 2: Convert to fraction form
    560/841.90 = 514.46/x
  3. Step 3: Cross multiply
    560x = 841.90 × 514.46
  4. Step 4: Simplify right side
    560x = 433,123.87
  5. Step 5: Solve for x
    x = 433,123.87/560
  6. Step 6: Final answer
    x = 773.44

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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.