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Finding the Fourth Proportional to 858.60, 1,184.76 and 710.64

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Solution

The fourth proportional to 858.60, 1,184.76 and 710.64 is: 980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.60 : 1,184.76 = 710.64 : x
  2. Step 2: Convert to fraction form
    858.60/1,184.76 = 710.64/x
  3. Step 3: Cross multiply
    858.60x = 1,184.76 × 710.64
  4. Step 4: Simplify right side
    858.60x = 841,937.85
  5. Step 5: Solve for x
    x = 841,937.85/858.60
  6. Step 6: Final answer
    x = 980.59

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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.