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Finding the Fourth Proportional to 765.48, 1,056.36 and 470.76

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Solution

The fourth proportional to 765.48, 1,056.36 and 470.76 is: 649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,056.36 = 470.76 : x
  2. Step 2: Convert to fraction form
    765.48/1,056.36 = 470.76/x
  3. Step 3: Cross multiply
    765.48x = 1,056.36 × 470.76
  4. Step 4: Simplify right side
    765.48x = 497,292.03
  5. Step 5: Solve for x
    x = 497,292.03/765.48
  6. Step 6: Final answer
    x = 649.65

Related Problems

Find fourth proportional to 382.74, 528.18 and 235.38
Half scale
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Double scale
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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.