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Finding the Fourth Proportional to 788.84, 1,088.66 and 457.38

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Solution

The fourth proportional to 788.84, 1,088.66 and 457.38 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.84 : 1,088.66 = 457.38 : x
  2. Step 2: Convert to fraction form
    788.84/1,088.66 = 457.38/x
  3. Step 3: Cross multiply
    788.84x = 1,088.66 × 457.38
  4. Step 4: Simplify right side
    788.84x = 497,931.31
  5. Step 5: Solve for x
    x = 497,931.31/788.84
  6. Step 6: Final answer
    x = 631.22

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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.