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Finding the Fourth Proportional to 592.98, 888.51 and 430.77

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Solution

The fourth proportional to 592.98, 888.51 and 430.77 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.98 : 888.51 = 430.77 : x
  2. Step 2: Convert to fraction form
    592.98/888.51 = 430.77/x
  3. Step 3: Cross multiply
    592.98x = 888.51 × 430.77
  4. Step 4: Simplify right side
    592.98x = 382,743.45
  5. Step 5: Solve for x
    x = 382,743.45/592.98
  6. Step 6: Final answer
    x = 645.46

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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.