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Finding the Fourth Proportional to 557.74, 831.94 and 510.56

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Solution

The fourth proportional to 557.74, 831.94 and 510.56 is: 761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.74 : 831.94 = 510.56 : x
  2. Step 2: Convert to fraction form
    557.74/831.94 = 510.56/x
  3. Step 3: Cross multiply
    557.74x = 831.94 × 510.56
  4. Step 4: Simplify right side
    557.74x = 424,755.29
  5. Step 5: Solve for x
    x = 424,755.29/557.74
  6. Step 6: Final answer
    x = 761.57

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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.