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Finding the Fourth Proportional to 530.93, 730.91 and 465.32

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Solution

The fourth proportional to 530.93, 730.91 and 465.32 is: 640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 730.91 = 465.32 : x
  2. Step 2: Convert to fraction form
    530.93/730.91 = 465.32/x
  3. Step 3: Cross multiply
    530.93x = 730.91 × 465.32
  4. Step 4: Simplify right side
    530.93x = 340,101.06
  5. Step 5: Solve for x
    x = 340,101.06/530.93
  6. Step 6: Final answer
    x = 640.58

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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.