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Finding the Fourth Proportional to 430.68, 592.62 and 417.98

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Solution

The fourth proportional to 430.68, 592.62 and 417.98 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 592.62 = 417.98 : x
  2. Step 2: Convert to fraction form
    430.68/592.62 = 417.98/x
  3. Step 3: Cross multiply
    430.68x = 592.62 × 417.98
  4. Step 4: Simplify right side
    430.68x = 247,703.31
  5. Step 5: Solve for x
    x = 247,703.31/430.68
  6. Step 6: Final answer
    x = 575.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.