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Finding the Fourth Proportional to 788.87, 1,088.55 and 457.40

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Solution

The fourth proportional to 788.87, 1,088.55 and 457.40 is: 631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.87 : 1,088.55 = 457.40 : x
  2. Step 2: Convert to fraction form
    788.87/1,088.55 = 457.40/x
  3. Step 3: Cross multiply
    788.87x = 1,088.55 × 457.40
  4. Step 4: Simplify right side
    788.87x = 497,902.77
  5. Step 5: Solve for x
    x = 497,902.77/788.87
  6. Step 6: Final answer
    x = 631.16

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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.