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Finding the Fourth Proportional to 785.04, 1,175.40 and 592.08

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Solution

The fourth proportional to 785.04, 1,175.40 and 592.08 is: 886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,175.40 = 592.08 : x
  2. Step 2: Convert to fraction form
    785.04/1,175.40 = 592.08/x
  3. Step 3: Cross multiply
    785.04x = 1,175.40 × 592.08
  4. Step 4: Simplify right side
    785.04x = 695,930.83
  5. Step 5: Solve for x
    x = 695,930.83/785.04
  6. Step 6: Final answer
    x = 886.49

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1.5x scale

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.