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Finding the Fourth Proportional to 991.65, 1,484.74 and 502.31

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Solution

The fourth proportional to 991.65, 1,484.74 and 502.31 is: 752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.65 : 1,484.74 = 502.31 : x
  2. Step 2: Convert to fraction form
    991.65/1,484.74 = 502.31/x
  3. Step 3: Cross multiply
    991.65x = 1,484.74 × 502.31
  4. Step 4: Simplify right side
    991.65x = 745,802.21
  5. Step 5: Solve for x
    x = 745,802.21/991.65
  6. Step 6: Final answer
    x = 752.08

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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.