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Finding the Fourth Proportional to 1,630.71, 2,445.55 and 534.83

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Solution

The fourth proportional to 1,630.71, 2,445.55 and 534.83 is: 802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.71 : 2,445.55 = 534.83 : x
  2. Step 2: Convert to fraction form
    1,630.71/2,445.55 = 534.83/x
  3. Step 3: Cross multiply
    1,630.71x = 2,445.55 × 534.83
  4. Step 4: Simplify right side
    1,630.71x = 1,307,953.51
  5. Step 5: Solve for x
    x = 1,307,953.51/1,630.71
  6. Step 6: Final answer
    x = 802.08

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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.