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Finding the Fourth Proportional to 532.72, 802.21 and 465.06

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Solution

The fourth proportional to 532.72, 802.21 and 465.06 is: 700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.72 : 802.21 = 465.06 : x
  2. Step 2: Convert to fraction form
    532.72/802.21 = 465.06/x
  3. Step 3: Cross multiply
    532.72x = 802.21 × 465.06
  4. Step 4: Simplify right side
    532.72x = 373,075.78
  5. Step 5: Solve for x
    x = 373,075.78/532.72
  6. Step 6: Final answer
    x = 700.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.