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Finding the Fourth Proportional to 775.60, 1,070.14 and 472.76

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Solution

The fourth proportional to 775.60, 1,070.14 and 472.76 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.60 : 1,070.14 = 472.76 : x
  2. Step 2: Convert to fraction form
    775.60/1,070.14 = 472.76/x
  3. Step 3: Cross multiply
    775.60x = 1,070.14 × 472.76
  4. Step 4: Simplify right side
    775.60x = 505,919.39
  5. Step 5: Solve for x
    x = 505,919.39/775.60
  6. Step 6: Final answer
    x = 652.29

Related Problems

Find fourth proportional to 387.80, 535.07 and 236.38
Half scale
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Double scale
Find fourth proportional to 776.60, 1,071.52 and 473.76
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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.