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Finding the Fourth Proportional to 530.14, 730.75 and 417.93

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Solution

The fourth proportional to 530.14, 730.75 and 417.93 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 730.75 = 417.93 : x
  2. Step 2: Convert to fraction form
    530.14/730.75 = 417.93/x
  3. Step 3: Cross multiply
    530.14x = 730.75 × 417.93
  4. Step 4: Simplify right side
    530.14x = 305,399.93
  5. Step 5: Solve for x
    x = 305,399.93/530.14
  6. Step 6: Final answer
    x = 576.07

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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.