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Finding the Fourth Proportional to 790.32, 1,091.12 and 510.68

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Solution

The fourth proportional to 790.32, 1,091.12 and 510.68 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.32 : 1,091.12 = 510.68 : x
  2. Step 2: Convert to fraction form
    790.32/1,091.12 = 510.68/x
  3. Step 3: Cross multiply
    790.32x = 1,091.12 × 510.68
  4. Step 4: Simplify right side
    790.32x = 557,213.16
  5. Step 5: Solve for x
    x = 557,213.16/790.32
  6. Step 6: Final answer
    x = 705.05

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1.5x scale

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.